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Obama leads 47-42, down from 50-42 in the same poll from March.

That’s in line with the Real Clear Politics average of polls, although a survey from conservative polling outlet Rasmussen released this week showed the two candidates tied in Virginia.

Obama’s lead would still be 5 points even if Romney were to add Virginia Gov. Bob McDonnell to the ticket. McDonnell is frequently mentioned as a potential Republican vice presidential candidate.

While Romney has made inroads among female voters nationally, women continue to buoy Obama in Virginia, where he leads 51-35. Romney has a 5 percent lead among men in the state.

Obama also leads 45-37 among independents in Virginia. Independents have so far tended to favor Romney nationally.

In a Web video released on Monday, Obama campaign manager Jim Messina identified Virginia as one of eight toss-up states that will be critical in determining the outcome of the 2012 election.

 Virginia was a reliably Republican state in presidential elections until 2008, when Obama defeated Sen. John McCainJohn Sidney McCainMcCain rips Trump for attacks on press NSA spying program overcomes key Senate hurdle Meghan McCain says her father regrets opposition to MLK Day MORE (R-Ariz.) by 6 percent there. 

The president started off his campaign in Virginia in early May, and Romney received the endorsement of Rep. Michele BachmannMichele Marie BachmannPawlenty opts out of Senate run in Minnesota US ambassador repeated debunked claim that Abedin has 'egregious' ties to Muslim Brotherhood Bachmann considering running for Franken's seat MORE (R-Minn.) at a campaign stop there just prior, where he was joined by McDonnell.