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Finding the Third Proportional to 498,117 and 747,540

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Solution

The third proportional to 498,117 and 747,540 is: 1,121,857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,117 : 747,540 = 747,540 : x
  2. Step 2: Convert to fraction form
    498,117/747,540 = 747,540/x
  3. Step 3: Cross multiply
    498,117x = 747,540 × 747,540
  4. Step 4: Simplify right side
    498,117x = 558,816,051,600
  5. Step 5: Solve for x
    x = 558,816,051,600/498,117
  6. Step 6: Final answer
    x = 1,121,857.02

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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.