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Finding the Third Proportional to 481.57 and 724.57

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Solution

The third proportional to 481.57 and 724.57 is: 1,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.57 : 724.57 = 724.57 : x
  2. Step 2: Convert to fraction form
    481.57/724.57 = 724.57/x
  3. Step 3: Cross multiply
    481.57x = 724.57 × 724.57
  4. Step 4: Simplify right side
    481.57x = 525,002.14
  5. Step 5: Solve for x
    x = 525,002.14/481.57
  6. Step 6: Final answer
    x = 1,090.19

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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.