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Finding the Third Proportional to 402.75 and 563.91

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Solution

The third proportional to 402.75 and 563.91 is: 789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 563.91 = 563.91 : x
  2. Step 2: Convert to fraction form
    402.75/563.91 = 563.91/x
  3. Step 3: Cross multiply
    402.75x = 563.91 × 563.91
  4. Step 4: Simplify right side
    402.75x = 317,990.26
  5. Step 5: Solve for x
    x = 317,990.26/402.75
  6. Step 6: Final answer
    x = 789.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.