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Finding the Third Proportional to 217,535 and 467,204

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Solution

The third proportional to 217,535 and 467,204 is: 1,003,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,535 : 467,204 = 467,204 : x
  2. Step 2: Convert to fraction form
    217,535/467,204 = 467,204/x
  3. Step 3: Cross multiply
    217,535x = 467,204 × 467,204
  4. Step 4: Simplify right side
    217,535x = 218,279,577,616
  5. Step 5: Solve for x
    x = 218,279,577,616/217,535
  6. Step 6: Final answer
    x = 1,003,422.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.