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Finding the Third Proportional to 403,915.57 and 625,400.16

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Solution

The third proportional to 403,915.57 and 625,400.16 is: 968,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,915.57 : 625,400.16 = 625,400.16 : x
  2. Step 2: Convert to fraction form
    403,915.57/625,400.16 = 625,400.16/x
  3. Step 3: Cross multiply
    403,915.57x = 625,400.16 × 625,400.16
  4. Step 4: Simplify right side
    403,915.57x = 391,125,355,437.52
  5. Step 5: Solve for x
    x = 391,125,355,437.52/403,915.57
  6. Step 6: Final answer
    x = 968,334.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.