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Finding the Third Proportional to 332,851.50 and 727,850.25

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Solution

The third proportional to 332,851.50 and 727,850.25 is: 1,591,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,851.50 : 727,850.25 = 727,850.25 : x
  2. Step 2: Convert to fraction form
    332,851.50/727,850.25 = 727,850.25/x
  3. Step 3: Cross multiply
    332,851.50x = 727,850.25 × 727,850.25
  4. Step 4: Simplify right side
    332,851.50x = 529,765,986,425.06
  5. Step 5: Solve for x
    x = 529,765,986,425.06/332,851.50
  6. Step 6: Final answer
    x = 1,591,598.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.