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Finding the Third Proportional to 226,379 and 471,361

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Solution

The third proportional to 226,379 and 471,361 is: 981,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,379 : 471,361 = 471,361 : x
  2. Step 2: Convert to fraction form
    226,379/471,361 = 471,361/x
  3. Step 3: Cross multiply
    226,379x = 471,361 × 471,361
  4. Step 4: Simplify right side
    226,379x = 222,181,192,321
  5. Step 5: Solve for x
    x = 222,181,192,321/226,379
  6. Step 6: Final answer
    x = 981,456.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.