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Finding the Third Proportional to 481.13 and 626.25

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Solution

The third proportional to 481.13 and 626.25 is: 815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.13 : 626.25 = 626.25 : x
  2. Step 2: Convert to fraction form
    481.13/626.25 = 626.25/x
  3. Step 3: Cross multiply
    481.13x = 626.25 × 626.25
  4. Step 4: Simplify right side
    481.13x = 392,189.06
  5. Step 5: Solve for x
    x = 392,189.06/481.13
  6. Step 6: Final answer
    x = 815.15

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.