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Finding the Third Proportional to 498,349.13 and 747,370.13

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Solution

The third proportional to 498,349.13 and 747,370.13 is: 1,120,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,349.13 : 747,370.13 = 747,370.13 : x
  2. Step 2: Convert to fraction form
    498,349.13/747,370.13 = 747,370.13/x
  3. Step 3: Cross multiply
    498,349.13x = 747,370.13 × 747,370.13
  4. Step 4: Simplify right side
    498,349.13x = 558,562,103,742.52
  5. Step 5: Solve for x
    x = 558,562,103,742.52/498,349.13
  6. Step 6: Final answer
    x = 1,120,824.89

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