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Finding the Third Proportional to 408.80 and 471.45

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Solution

The third proportional to 408.80 and 471.45 is: 543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.80 : 471.45 = 471.45 : x
  2. Step 2: Convert to fraction form
    408.80/471.45 = 471.45/x
  3. Step 3: Cross multiply
    408.80x = 471.45 × 471.45
  4. Step 4: Simplify right side
    408.80x = 222,260.68
  5. Step 5: Solve for x
    x = 222,260.68/408.80
  6. Step 6: Final answer
    x = 543.69

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.