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Finding the Third Proportional to 481.92 and 756.42

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Solution

The third proportional to 481.92 and 756.42 is: 1,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 756.42 = 756.42 : x
  2. Step 2: Convert to fraction form
    481.92/756.42 = 756.42/x
  3. Step 3: Cross multiply
    481.92x = 756.42 × 756.42
  4. Step 4: Simplify right side
    481.92x = 572,174.05
  5. Step 5: Solve for x
    x = 572,174.05/481.92
  6. Step 6: Final answer
    x = 1,187.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.