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Finding the Third Proportional to 534,733 and 726,412

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Solution

The third proportional to 534,733 and 726,412 is: 986,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,733 : 726,412 = 726,412 : x
  2. Step 2: Convert to fraction form
    534,733/726,412 = 726,412/x
  3. Step 3: Cross multiply
    534,733x = 726,412 × 726,412
  4. Step 4: Simplify right side
    534,733x = 527,674,393,744
  5. Step 5: Solve for x
    x = 527,674,393,744/534,733
  6. Step 6: Final answer
    x = 986,799.76

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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.