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Finding the Third Proportional to 605.13 and 1,282.92

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Solution

The third proportional to 605.13 and 1,282.92 is: 2,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.13 : 1,282.92 = 1,282.92 : x
  2. Step 2: Convert to fraction form
    605.13/1,282.92 = 1,282.92/x
  3. Step 3: Cross multiply
    605.13x = 1,282.92 × 1,282.92
  4. Step 4: Simplify right side
    605.13x = 1,645,888.80
  5. Step 5: Solve for x
    x = 1,645,888.80/605.13
  6. Step 6: Final answer
    x = 2,719.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.