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Finding the Third Proportional to 498,717 and 756,337.50

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Solution

The third proportional to 498,717 and 756,337.50 is: 1,147,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,717 : 756,337.50 = 756,337.50 : x
  2. Step 2: Convert to fraction form
    498,717/756,337.50 = 756,337.50/x
  3. Step 3: Cross multiply
    498,717x = 756,337.50 × 756,337.50
  4. Step 4: Simplify right side
    498,717x = 572,046,413,906.25
  5. Step 5: Solve for x
    x = 572,046,413,906.25/498,717
  6. Step 6: Final answer
    x = 1,147,036.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.