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Finding the Third Proportional to 220,092 and 457,404

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Solution

The third proportional to 220,092 and 457,404 is: 950,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,092 : 457,404 = 457,404 : x
  2. Step 2: Convert to fraction form
    220,092/457,404 = 457,404/x
  3. Step 3: Cross multiply
    220,092x = 457,404 × 457,404
  4. Step 4: Simplify right side
    220,092x = 209,218,419,216
  5. Step 5: Solve for x
    x = 209,218,419,216/220,092
  6. Step 6: Final answer
    x = 950,595.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.