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Finding the Third Proportional to 227,595 and 327,837

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Solution

The third proportional to 227,595 and 327,837 is: 472,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,595 : 327,837 = 327,837 : x
  2. Step 2: Convert to fraction form
    227,595/327,837 = 327,837/x
  3. Step 3: Cross multiply
    227,595x = 327,837 × 327,837
  4. Step 4: Simplify right side
    227,595x = 107,477,098,569
  5. Step 5: Solve for x
    x = 107,477,098,569/227,595
  6. Step 6: Final answer
    x = 472,229.61

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