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Finding the Third Proportional to 226,307 and 471,208

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Solution

The third proportional to 226,307 and 471,208 is: 981,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,307 : 471,208 = 471,208 : x
  2. Step 2: Convert to fraction form
    226,307/471,208 = 471,208/x
  3. Step 3: Cross multiply
    226,307x = 471,208 × 471,208
  4. Step 4: Simplify right side
    226,307x = 222,036,979,264
  5. Step 5: Solve for x
    x = 222,036,979,264/226,307
  6. Step 6: Final answer
    x = 981,131.73

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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.