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Finding the Third Proportional to 226,371 and 471,345

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Solution

The third proportional to 226,371 and 471,345 is: 981,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,371 : 471,345 = 471,345 : x
  2. Step 2: Convert to fraction form
    226,371/471,345 = 471,345/x
  3. Step 3: Cross multiply
    226,371x = 471,345 × 471,345
  4. Step 4: Simplify right side
    226,371x = 222,166,109,025
  5. Step 5: Solve for x
    x = 222,166,109,025/226,371
  6. Step 6: Final answer
    x = 981,424.78

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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.