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Finding the Third Proportional to 226,358 and 479,698

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Solution

The third proportional to 226,358 and 479,698 is: 1,016,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,358 : 479,698 = 479,698 : x
  2. Step 2: Convert to fraction form
    226,358/479,698 = 479,698/x
  3. Step 3: Cross multiply
    226,358x = 479,698 × 479,698
  4. Step 4: Simplify right side
    226,358x = 230,110,171,204
  5. Step 5: Solve for x
    x = 230,110,171,204/226,358
  6. Step 6: Final answer
    x = 1,016,576.27

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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.