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Finding the Third Proportional to 252,918,472.78 and 379,377,685.13

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Solution

The third proportional to 252,918,472.78 and 379,377,685.13 is: 569,066,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,918,472.78 : 379,377,685.13 = 379,377,685.13 : x
  2. Step 2: Convert to fraction form
    252,918,472.78/379,377,685.13 = 379,377,685.13/x
  3. Step 3: Cross multiply
    252,918,472.78x = 379,377,685.13 × 379,377,685.13
  4. Step 4: Simplify right side
    252,918,472.78x = 143,927,427,970,803,648
  5. Step 5: Solve for x
    x = 143,927,427,970,803,648/252,918,472.78
  6. Step 6: Final answer
    x = 569,066,491.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.