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Finding the Third Proportional to 226,422.84 and 479,795.91

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Solution

The third proportional to 226,422.84 and 479,795.91 is: 1,016,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,422.84 : 479,795.91 = 479,795.91 : x
  2. Step 2: Convert to fraction form
    226,422.84/479,795.91 = 479,795.91/x
  3. Step 3: Cross multiply
    226,422.84x = 479,795.91 × 479,795.91
  4. Step 4: Simplify right side
    226,422.84x = 230,204,111,654.26
  5. Step 5: Solve for x
    x = 230,204,111,654.26/226,422.84
  6. Step 6: Final answer
    x = 1,016,700.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.