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Finding the Third Proportional to 225,267 and 400,446

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Solution

The third proportional to 225,267 and 400,446 is: 711,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,267 : 400,446 = 400,446 : x
  2. Step 2: Convert to fraction form
    225,267/400,446 = 400,446/x
  3. Step 3: Cross multiply
    225,267x = 400,446 × 400,446
  4. Step 4: Simplify right side
    225,267x = 160,356,998,916
  5. Step 5: Solve for x
    x = 160,356,998,916/225,267
  6. Step 6: Final answer
    x = 711,853.04

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.