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Finding the Third Proportional to 282,542 and 426,694

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Solution

The third proportional to 282,542 and 426,694 is: 644,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,542 : 426,694 = 426,694 : x
  2. Step 2: Convert to fraction form
    282,542/426,694 = 426,694/x
  3. Step 3: Cross multiply
    282,542x = 426,694 × 426,694
  4. Step 4: Simplify right side
    282,542x = 182,067,769,636
  5. Step 5: Solve for x
    x = 182,067,769,636/282,542
  6. Step 6: Final answer
    x = 644,391.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.