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Finding the Third Proportional to 226,374 and 471,311

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Solution

The third proportional to 226,374 and 471,311 is: 981,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,374 : 471,311 = 471,311 : x
  2. Step 2: Convert to fraction form
    226,374/471,311 = 471,311/x
  3. Step 3: Cross multiply
    226,374x = 471,311 × 471,311
  4. Step 4: Simplify right side
    226,374x = 222,134,058,721
  5. Step 5: Solve for x
    x = 222,134,058,721/226,374
  6. Step 6: Final answer
    x = 981,270.19

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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.