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Finding the Third Proportional to 227,736 and 324,414.75

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Solution

The third proportional to 227,736 and 324,414.75 is: 462,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,736 : 324,414.75 = 324,414.75 : x
  2. Step 2: Convert to fraction form
    227,736/324,414.75 = 324,414.75/x
  3. Step 3: Cross multiply
    227,736x = 324,414.75 × 324,414.75
  4. Step 4: Simplify right side
    227,736x = 105,244,930,017.56
  5. Step 5: Solve for x
    x = 105,244,930,017.56/227,736
  6. Step 6: Final answer
    x = 462,135.67

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.