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Finding the Third Proportional to 534,679.31 and 726,384.38

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Solution

The third proportional to 534,679.31 and 726,384.38 is: 986,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,679.31 : 726,384.38 = 726,384.38 : x
  2. Step 2: Convert to fraction form
    534,679.31/726,384.38 = 726,384.38/x
  3. Step 3: Cross multiply
    534,679.31x = 726,384.38 × 726,384.38
  4. Step 4: Simplify right side
    534,679.31x = 527,634,260,244.14
  5. Step 5: Solve for x
    x = 527,634,260,244.14/534,679.31
  6. Step 6: Final answer
    x = 986,823.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.