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Finding the Third Proportional to 534,685.50 and 726,393

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Solution

The third proportional to 534,685.50 and 726,393 is: 986,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,685.50 : 726,393 = 726,393 : x
  2. Step 2: Convert to fraction form
    534,685.50/726,393 = 726,393/x
  3. Step 3: Cross multiply
    534,685.50x = 726,393 × 726,393
  4. Step 4: Simplify right side
    534,685.50x = 527,646,790,449
  5. Step 5: Solve for x
    x = 527,646,790,449/534,685.50
  6. Step 6: Final answer
    x = 986,835.79

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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.