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Finding the Third Proportional to 226,314 and 471,231

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Solution

The third proportional to 226,314 and 471,231 is: 981,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,314 : 471,231 = 471,231 : x
  2. Step 2: Convert to fraction form
    226,314/471,231 = 471,231/x
  3. Step 3: Cross multiply
    226,314x = 471,231 × 471,231
  4. Step 4: Simplify right side
    226,314x = 222,058,655,361
  5. Step 5: Solve for x
    x = 222,058,655,361/226,314
  6. Step 6: Final answer
    x = 981,197.17

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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.