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Finding the Third Proportional to 481.55 and 652.56

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Solution

The third proportional to 481.55 and 652.56 is: 884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.55 : 652.56 = 652.56 : x
  2. Step 2: Convert to fraction form
    481.55/652.56 = 652.56/x
  3. Step 3: Cross multiply
    481.55x = 652.56 × 652.56
  4. Step 4: Simplify right side
    481.55x = 425,832.24
  5. Step 5: Solve for x
    x = 425,832.24/481.55
  6. Step 6: Final answer
    x = 884.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.