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Finding the Third Proportional to 498,468.50 and 731,046.50

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Solution

The third proportional to 498,468.50 and 731,046.50 is: 1,072,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,468.50 : 731,046.50 = 731,046.50 : x
  2. Step 2: Convert to fraction form
    498,468.50/731,046.50 = 731,046.50/x
  3. Step 3: Cross multiply
    498,468.50x = 731,046.50 × 731,046.50
  4. Step 4: Simplify right side
    498,468.50x = 534,428,985,162.25
  5. Step 5: Solve for x
    x = 534,428,985,162.25/498,468.50
  6. Step 6: Final answer
    x = 1,072,141.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.