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Finding the Third Proportional to 226,375 and 471,313

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Solution

The third proportional to 226,375 and 471,313 is: 981,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,375 : 471,313 = 471,313 : x
  2. Step 2: Convert to fraction form
    226,375/471,313 = 471,313/x
  3. Step 3: Cross multiply
    226,375x = 471,313 × 471,313
  4. Step 4: Simplify right side
    226,375x = 222,135,943,969
  5. Step 5: Solve for x
    x = 222,135,943,969/226,375
  6. Step 6: Final answer
    x = 981,274.19

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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.