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Finding the Third Proportional to 332,192 and 501,744

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Solution

The third proportional to 332,192 and 501,744 is: 757,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,192 : 501,744 = 501,744 : x
  2. Step 2: Convert to fraction form
    332,192/501,744 = 501,744/x
  3. Step 3: Cross multiply
    332,192x = 501,744 × 501,744
  4. Step 4: Simplify right side
    332,192x = 251,747,041,536
  5. Step 5: Solve for x
    x = 251,747,041,536/332,192
  6. Step 6: Final answer
    x = 757,835.95

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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.