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Finding the Third Proportional to 332,163 and 515,744

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Solution

The third proportional to 332,163 and 515,744 is: 800,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,163 : 515,744 = 515,744 : x
  2. Step 2: Convert to fraction form
    332,163/515,744 = 515,744/x
  3. Step 3: Cross multiply
    332,163x = 515,744 × 515,744
  4. Step 4: Simplify right side
    332,163x = 265,991,873,536
  5. Step 5: Solve for x
    x = 265,991,873,536/332,163
  6. Step 6: Final answer
    x = 800,787.18

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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.