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Finding the Third Proportional to 400.75 and 466.75

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Solution

The third proportional to 400.75 and 466.75 is: 543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.75 : 466.75 = 466.75 : x
  2. Step 2: Convert to fraction form
    400.75/466.75 = 466.75/x
  3. Step 3: Cross multiply
    400.75x = 466.75 × 466.75
  4. Step 4: Simplify right side
    400.75x = 217,855.56
  5. Step 5: Solve for x
    x = 217,855.56/400.75
  6. Step 6: Final answer
    x = 543.62

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.