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Finding the Third Proportional to 218,920 and 475,204

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Solution

The third proportional to 218,920 and 475,204 is: 1,031,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,920 : 475,204 = 475,204 : x
  2. Step 2: Convert to fraction form
    218,920/475,204 = 475,204/x
  3. Step 3: Cross multiply
    218,920x = 475,204 × 475,204
  4. Step 4: Simplify right side
    218,920x = 225,818,841,616
  5. Step 5: Solve for x
    x = 225,818,841,616/218,920
  6. Step 6: Final answer
    x = 1,031,513.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.