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Finding the Third Proportional to 282.75 and 680.91

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Solution

The third proportional to 282.75 and 680.91 is: 1,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.75 : 680.91 = 680.91 : x
  2. Step 2: Convert to fraction form
    282.75/680.91 = 680.91/x
  3. Step 3: Cross multiply
    282.75x = 680.91 × 680.91
  4. Step 4: Simplify right side
    282.75x = 463,633.32
  5. Step 5: Solve for x
    x = 463,633.32/282.75
  6. Step 6: Final answer
    x = 1,639.73

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.