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Finding the Third Proportional to 481.92 and 743.06

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Solution

The third proportional to 481.92 and 743.06 is: 1,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 743.06 = 743.06 : x
  2. Step 2: Convert to fraction form
    481.92/743.06 = 743.06/x
  3. Step 3: Cross multiply
    481.92x = 743.06 × 743.06
  4. Step 4: Simplify right side
    481.92x = 552,141.88
  5. Step 5: Solve for x
    x = 552,141.88/481.92
  6. Step 6: Final answer
    x = 1,145.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.