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Finding the Third Proportional to 225,542 and 534,317

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Solution

The third proportional to 225,542 and 534,317 is: 1,265,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,542 : 534,317 = 534,317 : x
  2. Step 2: Convert to fraction form
    225,542/534,317 = 534,317/x
  3. Step 3: Cross multiply
    225,542x = 534,317 × 534,317
  4. Step 4: Simplify right side
    225,542x = 285,494,656,489
  5. Step 5: Solve for x
    x = 285,494,656,489/225,542
  6. Step 6: Final answer
    x = 1,265,815.93

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.