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Finding the Third Proportional to 321.94 and 481.69

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Solution

The third proportional to 321.94 and 481.69 is: 720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.94 : 481.69 = 481.69 : x
  2. Step 2: Convert to fraction form
    321.94/481.69 = 481.69/x
  3. Step 3: Cross multiply
    321.94x = 481.69 × 481.69
  4. Step 4: Simplify right side
    321.94x = 232,022.85
  5. Step 5: Solve for x
    x = 232,022.85/321.94
  6. Step 6: Final answer
    x = 720.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.