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Finding the Third Proportional to 363.50 and 466.78

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Solution

The third proportional to 363.50 and 466.78 is: 599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 466.78 = 466.78 : x
  2. Step 2: Convert to fraction form
    363.50/466.78 = 466.78/x
  3. Step 3: Cross multiply
    363.50x = 466.78 × 466.78
  4. Step 4: Simplify right side
    363.50x = 217,884.74
  5. Step 5: Solve for x
    x = 217,884.74/363.50
  6. Step 6: Final answer
    x = 599.41

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.