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Finding the Third Proportional to 636.19 and 1,285.88

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Solution

The third proportional to 636.19 and 1,285.88 is: 2,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.19 : 1,285.88 = 1,285.88 : x
  2. Step 2: Convert to fraction form
    636.19/1,285.88 = 1,285.88/x
  3. Step 3: Cross multiply
    636.19x = 1,285.88 × 1,285.88
  4. Step 4: Simplify right side
    636.19x = 1,653,474.52
  5. Step 5: Solve for x
    x = 1,653,474.52/636.19
  6. Step 6: Final answer
    x = 2,599.04

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.