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Finding the Third Proportional to 352.97 and 762.05

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Solution

The third proportional to 352.97 and 762.05 is: 1,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.97 : 762.05 = 762.05 : x
  2. Step 2: Convert to fraction form
    352.97/762.05 = 762.05/x
  3. Step 3: Cross multiply
    352.97x = 762.05 × 762.05
  4. Step 4: Simplify right side
    352.97x = 580,715.44
  5. Step 5: Solve for x
    x = 580,715.44/352.97
  6. Step 6: Final answer
    x = 1,645.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.