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Finding the Third Proportional to 280.75 and 616.75

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Solution

The third proportional to 280.75 and 616.75 is: 1,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.75 : 616.75 = 616.75 : x
  2. Step 2: Convert to fraction form
    280.75/616.75 = 616.75/x
  3. Step 3: Cross multiply
    280.75x = 616.75 × 616.75
  4. Step 4: Simplify right side
    280.75x = 380,380.56
  5. Step 5: Solve for x
    x = 380,380.56/280.75
  6. Step 6: Final answer
    x = 1,354.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.