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Finding the Third Proportional to 324,917 and 724,542

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Solution

The third proportional to 324,917 and 724,542 is: 1,615,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,917 : 724,542 = 724,542 : x
  2. Step 2: Convert to fraction form
    324,917/724,542 = 724,542/x
  3. Step 3: Cross multiply
    324,917x = 724,542 × 724,542
  4. Step 4: Simplify right side
    324,917x = 524,961,109,764
  5. Step 5: Solve for x
    x = 524,961,109,764/324,917
  6. Step 6: Final answer
    x = 1,615,677.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.