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Finding the Third Proportional to 311,446.75 and 480,450.75

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Solution

The third proportional to 311,446.75 and 480,450.75 is: 741,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,446.75 : 480,450.75 = 480,450.75 : x
  2. Step 2: Convert to fraction form
    311,446.75/480,450.75 = 480,450.75/x
  3. Step 3: Cross multiply
    311,446.75x = 480,450.75 × 480,450.75
  4. Step 4: Simplify right side
    311,446.75x = 230,832,923,175.56
  5. Step 5: Solve for x
    x = 230,832,923,175.56/311,446.75
  6. Step 6: Final answer
    x = 741,163.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.