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Finding the Third Proportional to 226,327 and 471,243

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Solution

The third proportional to 226,327 and 471,243 is: 981,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,327 : 471,243 = 471,243 : x
  2. Step 2: Convert to fraction form
    226,327/471,243 = 471,243/x
  3. Step 3: Cross multiply
    226,327x = 471,243 × 471,243
  4. Step 4: Simplify right side
    226,327x = 222,069,965,049
  5. Step 5: Solve for x
    x = 222,069,965,049/226,327
  6. Step 6: Final answer
    x = 981,190.78

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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.