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Finding the Third Proportional to 498,681 and 747,828

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Solution

The third proportional to 498,681 and 747,828 is: 1,121,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,681 : 747,828 = 747,828 : x
  2. Step 2: Convert to fraction form
    498,681/747,828 = 747,828/x
  3. Step 3: Cross multiply
    498,681x = 747,828 × 747,828
  4. Step 4: Simplify right side
    498,681x = 559,246,717,584
  5. Step 5: Solve for x
    x = 559,246,717,584/498,681
  6. Step 6: Final answer
    x = 1,121,451.83

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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.