The longest documented shot on YouTube is 322 yards, or ~294.43 meters.
This was a test for an accurate shot where he shot a 9-inch balloon.
A crossbow can definitely shoot further, but accuracy becomes a problem.
If you were standing on flat terrain and shot up at a 45 degree angle, my guess is that most crossbows won't get much further than 400 yards(365.76 meters)
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