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Finding the Third Proportional to 226,377 and 471,317

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Solution

The third proportional to 226,377 and 471,317 is: 981,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,377 : 471,317 = 471,317 : x
  2. Step 2: Convert to fraction form
    226,377/471,317 = 471,317/x
  3. Step 3: Cross multiply
    226,377x = 471,317 × 471,317
  4. Step 4: Simplify right side
    226,377x = 222,139,714,489
  5. Step 5: Solve for x
    x = 222,139,714,489/226,377
  6. Step 6: Final answer
    x = 981,282.17

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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.