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Finding the Third Proportional to 226,357 and 479,696

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Solution

The third proportional to 226,357 and 479,696 is: 1,016,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,357 : 479,696 = 479,696 : x
  2. Step 2: Convert to fraction form
    226,357/479,696 = 479,696/x
  3. Step 3: Cross multiply
    226,357x = 479,696 × 479,696
  4. Step 4: Simplify right side
    226,357x = 230,108,252,416
  5. Step 5: Solve for x
    x = 230,108,252,416/226,357
  6. Step 6: Final answer
    x = 1,016,572.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.