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Finding the Third Proportional to 396.50 and 431

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Solution

The third proportional to 396.50 and 431 is: 468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 431 = 431 : x
  2. Step 2: Convert to fraction form
    396.50/431 = 431/x
  3. Step 3: Cross multiply
    396.50x = 431 × 431
  4. Step 4: Simplify right side
    396.50x = 185,761
  5. Step 5: Solve for x
    x = 185,761/396.50
  6. Step 6: Final answer
    x = 468.50

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.