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Finding the Third Proportional to 222,721 and 479,906

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Solution

The third proportional to 222,721 and 479,906 is: 1,034,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,721 : 479,906 = 479,906 : x
  2. Step 2: Convert to fraction form
    222,721/479,906 = 479,906/x
  3. Step 3: Cross multiply
    222,721x = 479,906 × 479,906
  4. Step 4: Simplify right side
    222,721x = 230,309,768,836
  5. Step 5: Solve for x
    x = 230,309,768,836/222,721
  6. Step 6: Final answer
    x = 1,034,072.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.