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Finding the Third Proportional to 361,241 and 562,542

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Solution

The third proportional to 361,241 and 562,542 is: 876,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,241 : 562,542 = 562,542 : x
  2. Step 2: Convert to fraction form
    361,241/562,542 = 562,542/x
  3. Step 3: Cross multiply
    361,241x = 562,542 × 562,542
  4. Step 4: Simplify right side
    361,241x = 316,453,501,764
  5. Step 5: Solve for x
    x = 316,453,501,764/361,241
  6. Step 6: Final answer
    x = 876,017.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.