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Finding the Third Proportional to 227,608 and 327,877

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Solution

The third proportional to 227,608 and 327,877 is: 472,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,608 : 327,877 = 327,877 : x
  2. Step 2: Convert to fraction form
    227,608/327,877 = 327,877/x
  3. Step 3: Cross multiply
    227,608x = 327,877 × 327,877
  4. Step 4: Simplify right side
    227,608x = 107,503,327,129
  5. Step 5: Solve for x
    x = 107,503,327,129/227,608
  6. Step 6: Final answer
    x = 472,317.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.