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Finding the Third Proportional to 402,260,960.50 and 615,087,517

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Solution

The third proportional to 402,260,960.50 and 615,087,517 is: 940,515,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,260,960.50 : 615,087,517 = 615,087,517 : x
  2. Step 2: Convert to fraction form
    402,260,960.50/615,087,517 = 615,087,517/x
  3. Step 3: Cross multiply
    402,260,960.50x = 615,087,517 × 615,087,517
  4. Step 4: Simplify right side
    402,260,960.50x = 378,332,653,569,225,280
  5. Step 5: Solve for x
    x = 378,332,653,569,225,280/402,260,960.50
  6. Step 6: Final answer
    x = 940,515,463.14

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Why These Related Problems?

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