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Finding the Third Proportional to 227,674 and 365,811

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Solution

The third proportional to 227,674 and 365,811 is: 587,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,674 : 365,811 = 365,811 : x
  2. Step 2: Convert to fraction form
    227,674/365,811 = 365,811/x
  3. Step 3: Cross multiply
    227,674x = 365,811 × 365,811
  4. Step 4: Simplify right side
    227,674x = 133,817,687,721
  5. Step 5: Solve for x
    x = 133,817,687,721/227,674
  6. Step 6: Final answer
    x = 587,760.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.