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Finding the Third Proportional to 481.81 and 721.38

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Solution

The third proportional to 481.81 and 721.38 is: 1,080.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.81 : 721.38 = 721.38 : x
  2. Step 2: Convert to fraction form
    481.81/721.38 = 721.38/x
  3. Step 3: Cross multiply
    481.81x = 721.38 × 721.38
  4. Step 4: Simplify right side
    481.81x = 520,381.89
  5. Step 5: Solve for x
    x = 520,381.89/481.81
  6. Step 6: Final answer
    x = 1,080.05

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