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Finding the Third Proportional to 534,937.50 and 728,592.75

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Solution

The third proportional to 534,937.50 and 728,592.75 is: 992,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,937.50 : 728,592.75 = 728,592.75 : x
  2. Step 2: Convert to fraction form
    534,937.50/728,592.75 = 728,592.75/x
  3. Step 3: Cross multiply
    534,937.50x = 728,592.75 × 728,592.75
  4. Step 4: Simplify right side
    534,937.50x = 530,847,395,352.56
  5. Step 5: Solve for x
    x = 530,847,395,352.56/534,937.50
  6. Step 6: Final answer
    x = 992,354.05

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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.