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Finding the Third Proportional to 349.92 and 762.66

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Solution

The third proportional to 349.92 and 762.66 is: 1,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.92 : 762.66 = 762.66 : x
  2. Step 2: Convert to fraction form
    349.92/762.66 = 762.66/x
  3. Step 3: Cross multiply
    349.92x = 762.66 × 762.66
  4. Step 4: Simplify right side
    349.92x = 581,644.56
  5. Step 5: Solve for x
    x = 581,644.56/349.92
  6. Step 6: Final answer
    x = 1,662.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.