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Finding the Third Proportional to 282 and 574.88

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Solution

The third proportional to 282 and 574.88 is: 1,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282 : 574.88 = 574.88 : x
  2. Step 2: Convert to fraction form
    282/574.88 = 574.88/x
  3. Step 3: Cross multiply
    282x = 574.88 × 574.88
  4. Step 4: Simplify right side
    282x = 330,481.27
  5. Step 5: Solve for x
    x = 330,481.27/282
  6. Step 6: Final answer
    x = 1,171.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.