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Finding the Third Proportional to 534,882.75 and 728,511.75

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Solution

The third proportional to 534,882.75 and 728,511.75 is: 992,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,882.75 : 728,511.75 = 728,511.75 : x
  2. Step 2: Convert to fraction form
    534,882.75/728,511.75 = 728,511.75/x
  3. Step 3: Cross multiply
    534,882.75x = 728,511.75 × 728,511.75
  4. Step 4: Simplify right side
    534,882.75x = 530,729,369,888.06
  5. Step 5: Solve for x
    x = 530,729,369,888.06/534,882.75
  6. Step 6: Final answer
    x = 992,234.97

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