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Finding the Third Proportional to 300,813.75 and 451,230.75

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Solution

The third proportional to 300,813.75 and 451,230.75 is: 676,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,813.75 : 451,230.75 = 451,230.75 : x
  2. Step 2: Convert to fraction form
    300,813.75/451,230.75 = 451,230.75/x
  3. Step 3: Cross multiply
    300,813.75x = 451,230.75 × 451,230.75
  4. Step 4: Simplify right side
    300,813.75x = 203,609,189,745.56
  5. Step 5: Solve for x
    x = 203,609,189,745.56/300,813.75
  6. Step 6: Final answer
    x = 676,861.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.