If the number of bacteria in a colony doubles every 341 minutes and there is currently a population of 1,630 bacteria, what will the population be 1,705 minutes from now?

First, we need to calculate how many times the population doubles in 1,705 minutes. We do this by dividing 1,705 minutes by 341 minutes: 1,705 minutes / 341 minutes = <<1705/341=5>>5 times.

Now we need to calculate the final population size by multiplying the current population size by 2, for each of the 5 times the population doubles: 1,630 * 2 * 2 * 2 * 2 * 2 = 41,280. Answer: \boxed{41,280}.