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Finding the Third Proportional to 400.36 and 523.97

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Solution

The third proportional to 400.36 and 523.97 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.36 : 523.97 = 523.97 : x
  2. Step 2: Convert to fraction form
    400.36/523.97 = 523.97/x
  3. Step 3: Cross multiply
    400.36x = 523.97 × 523.97
  4. Step 4: Simplify right side
    400.36x = 274,543.25
  5. Step 5: Solve for x
    x = 274,543.25/400.36
  6. Step 6: Final answer
    x = 685.74

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.