We are given that:
 100 mL total solution with 1:50 povidone iodine solution
  
 This means that there is 1 mL of povidone iodine solution per 50 mL of total solution. Since we are given a total of 100 mL solution, therefore we have an initial amount of:
 pure povidone iodine solution = 2 mL
  
 This amount of pure povidone iodine solution is added or diluted (most perhaps with water) to make a total of 1000 mL total solution, therefore the new ratio is:
 2:1000 povidone iodine solution
 By dividing both sides by 2, this simplifies to
 1:500 povidone iodine solution
  
 Answer: 
 1:500