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Finding the Third Proportional to 442,854 and 687,609

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Solution

The third proportional to 442,854 and 687,609 is: 1,067,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,854 : 687,609 = 687,609 : x
  2. Step 2: Convert to fraction form
    442,854/687,609 = 687,609/x
  3. Step 3: Cross multiply
    442,854x = 687,609 × 687,609
  4. Step 4: Simplify right side
    442,854x = 472,806,136,881
  5. Step 5: Solve for x
    x = 472,806,136,881/442,854
  6. Step 6: Final answer
    x = 1,067,634.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.