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Finding the Third Proportional to 227,678 and 365,817

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Solution

The third proportional to 227,678 and 365,817 is: 587,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,678 : 365,817 = 365,817 : x
  2. Step 2: Convert to fraction form
    227,678/365,817 = 365,817/x
  3. Step 3: Cross multiply
    227,678x = 365,817 × 365,817
  4. Step 4: Simplify right side
    227,678x = 133,822,077,489
  5. Step 5: Solve for x
    x = 133,822,077,489/227,678
  6. Step 6: Final answer
    x = 587,769.03

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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.