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Finding the Third Proportional to 534,868.31 and 728,491.22

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Solution

The third proportional to 534,868.31 and 728,491.22 is: 992,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,868.31 : 728,491.22 = 728,491.22 : x
  2. Step 2: Convert to fraction form
    534,868.31/728,491.22 = 728,491.22/x
  3. Step 3: Cross multiply
    534,868.31x = 728,491.22 × 728,491.22
  4. Step 4: Simplify right side
    534,868.31x = 530,699,455,795.86
  5. Step 5: Solve for x
    x = 530,699,455,795.86/534,868.31
  6. Step 6: Final answer
    x = 992,205.83

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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.