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Finding the Third Proportional to 218,162 and 475,744

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Solution

The third proportional to 218,162 and 475,744 is: 1,037,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,162 : 475,744 = 475,744 : x
  2. Step 2: Convert to fraction form
    218,162/475,744 = 475,744/x
  3. Step 3: Cross multiply
    218,162x = 475,744 × 475,744
  4. Step 4: Simplify right side
    218,162x = 226,332,353,536
  5. Step 5: Solve for x
    x = 226,332,353,536/218,162
  6. Step 6: Final answer
    x = 1,037,450.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.