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Finding the Third Proportional to 226,374 and 471,351

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Solution

The third proportional to 226,374 and 471,351 is: 981,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,374 : 471,351 = 471,351 : x
  2. Step 2: Convert to fraction form
    226,374/471,351 = 471,351/x
  3. Step 3: Cross multiply
    226,374x = 471,351 × 471,351
  4. Step 4: Simplify right side
    226,374x = 222,171,765,201
  5. Step 5: Solve for x
    x = 222,171,765,201/226,374
  6. Step 6: Final answer
    x = 981,436.76

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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.