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Finding the Third Proportional to 296.81 and 682.38

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Solution

The third proportional to 296.81 and 682.38 is: 1,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.81 : 682.38 = 682.38 : x
  2. Step 2: Convert to fraction form
    296.81/682.38 = 682.38/x
  3. Step 3: Cross multiply
    296.81x = 682.38 × 682.38
  4. Step 4: Simplify right side
    296.81x = 465,635.64
  5. Step 5: Solve for x
    x = 465,635.64/296.81
  6. Step 6: Final answer
    x = 1,568.79

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.