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Finding the Third Proportional to 329 and 462

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Solution

The third proportional to 329 and 462 is: 648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 462 = 462 : x
  2. Step 2: Convert to fraction form
    329/462 = 462/x
  3. Step 3: Cross multiply
    329x = 462 × 462
  4. Step 4: Simplify right side
    329x = 213,444
  5. Step 5: Solve for x
    x = 213,444/329
  6. Step 6: Final answer
    x = 648.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.