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Finding the Third Proportional to 402,344,608.50 and 615,064,920.75

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Solution

The third proportional to 402,344,608.50 and 615,064,920.75 is: 940,250,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,344,608.50 : 615,064,920.75 = 615,064,920.75 : x
  2. Step 2: Convert to fraction form
    402,344,608.50/615,064,920.75 = 615,064,920.75/x
  3. Step 3: Cross multiply
    402,344,608.50x = 615,064,920.75 × 615,064,920.75
  4. Step 4: Simplify right side
    402,344,608.50x = 378,304,856,737,203,776
  5. Step 5: Solve for x
    x = 378,304,856,737,203,776/402,344,608.50
  6. Step 6: Final answer
    x = 940,250,841.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.