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Finding the Third Proportional to 306.75 and 674.06

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Solution

The third proportional to 306.75 and 674.06 is: 1,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 674.06 = 674.06 : x
  2. Step 2: Convert to fraction form
    306.75/674.06 = 674.06/x
  3. Step 3: Cross multiply
    306.75x = 674.06 × 674.06
  4. Step 4: Simplify right side
    306.75x = 454,360.25
  5. Step 5: Solve for x
    x = 454,360.25/306.75
  6. Step 6: Final answer
    x = 1,481.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.