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Finding the Third Proportional to 227,676 and 365,814

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Solution

The third proportional to 227,676 and 365,814 is: 587,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,676 : 365,814 = 365,814 : x
  2. Step 2: Convert to fraction form
    227,676/365,814 = 365,814/x
  3. Step 3: Cross multiply
    227,676x = 365,814 × 365,814
  4. Step 4: Simplify right side
    227,676x = 133,819,882,596
  5. Step 5: Solve for x
    x = 133,819,882,596/227,676
  6. Step 6: Final answer
    x = 587,764.55

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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.