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Finding the Third Proportional to 227,956.78 and 527,682.09

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Solution

The third proportional to 227,956.78 and 527,682.09 is: 1,221,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,956.78 : 527,682.09 = 527,682.09 : x
  2. Step 2: Convert to fraction form
    227,956.78/527,682.09 = 527,682.09/x
  3. Step 3: Cross multiply
    227,956.78x = 527,682.09 × 527,682.09
  4. Step 4: Simplify right side
    227,956.78x = 278,448,392,064.38
  5. Step 5: Solve for x
    x = 278,448,392,064.38/227,956.78
  6. Step 6: Final answer
    x = 1,221,496.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.