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Finding the Third Proportional to 243,396 and 534,744

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Solution

The third proportional to 243,396 and 534,744 is: 1,174,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,396 : 534,744 = 534,744 : x
  2. Step 2: Convert to fraction form
    243,396/534,744 = 534,744/x
  3. Step 3: Cross multiply
    243,396x = 534,744 × 534,744
  4. Step 4: Simplify right side
    243,396x = 285,951,145,536
  5. Step 5: Solve for x
    x = 285,951,145,536/243,396
  6. Step 6: Final answer
    x = 1,174,839.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.