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Finding the Third Proportional to 371.62 and 563.84

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Solution

The third proportional to 371.62 and 563.84 is: 855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.62 : 563.84 = 563.84 : x
  2. Step 2: Convert to fraction form
    371.62/563.84 = 563.84/x
  3. Step 3: Cross multiply
    371.62x = 563.84 × 563.84
  4. Step 4: Simplify right side
    371.62x = 317,910.96
  5. Step 5: Solve for x
    x = 317,910.96/371.62
  6. Step 6: Final answer
    x = 855.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.