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Finding the Third Proportional to 481.57 and 726.68

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Solution

The third proportional to 481.57 and 726.68 is: 1,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.57 : 726.68 = 726.68 : x
  2. Step 2: Convert to fraction form
    481.57/726.68 = 726.68/x
  3. Step 3: Cross multiply
    481.57x = 726.68 × 726.68
  4. Step 4: Simplify right side
    481.57x = 528,063.37
  5. Step 5: Solve for x
    x = 528,063.37/481.57
  6. Step 6: Final answer
    x = 1,096.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.