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Finding the Third Proportional to 348.73 and 452.46

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Solution

The third proportional to 348.73 and 452.46 is: 587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.73 : 452.46 = 452.46 : x
  2. Step 2: Convert to fraction form
    348.73/452.46 = 452.46/x
  3. Step 3: Cross multiply
    348.73x = 452.46 × 452.46
  4. Step 4: Simplify right side
    348.73x = 204,720.90
  5. Step 5: Solve for x
    x = 204,720.90/348.73
  6. Step 6: Final answer
    x = 587.04

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.