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Finding the Third Proportional to 332.44 and 744.82

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Solution

The third proportional to 332.44 and 744.82 is: 1,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.44 : 744.82 = 744.82 : x
  2. Step 2: Convert to fraction form
    332.44/744.82 = 744.82/x
  3. Step 3: Cross multiply
    332.44x = 744.82 × 744.82
  4. Step 4: Simplify right side
    332.44x = 554,757.30
  5. Step 5: Solve for x
    x = 554,757.30/332.44
  6. Step 6: Final answer
    x = 1,668.76

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.