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Finding the Third Proportional to 306 and 467

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Solution

The third proportional to 306 and 467 is: 712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 467 = 467 : x
  2. Step 2: Convert to fraction form
    306/467 = 467/x
  3. Step 3: Cross multiply
    306x = 467 × 467
  4. Step 4: Simplify right side
    306x = 218,089
  5. Step 5: Solve for x
    x = 218,089/306
  6. Step 6: Final answer
    x = 712.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.