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Finding the Third Proportional to 602.28 and 1,285.72

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Solution

The third proportional to 602.28 and 1,285.72 is: 2,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 1,285.72 = 1,285.72 : x
  2. Step 2: Convert to fraction form
    602.28/1,285.72 = 1,285.72/x
  3. Step 3: Cross multiply
    602.28x = 1,285.72 × 1,285.72
  4. Step 4: Simplify right side
    602.28x = 1,653,067.68
  5. Step 5: Solve for x
    x = 1,653,067.68/602.28
  6. Step 6: Final answer
    x = 2,744.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.