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Finding the Third Proportional to 498,351.38 and 747,373.50

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Solution

The third proportional to 498,351.38 and 747,373.50 is: 1,120,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,351.38 : 747,373.50 = 747,373.50 : x
  2. Step 2: Convert to fraction form
    498,351.38/747,373.50 = 747,373.50/x
  3. Step 3: Cross multiply
    498,351.38x = 747,373.50 × 747,373.50
  4. Step 4: Simplify right side
    498,351.38x = 558,567,148,502.25
  5. Step 5: Solve for x
    x = 558,567,148,502.25/498,351.38
  6. Step 6: Final answer
    x = 1,120,829.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.