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Finding the Third Proportional to 600.38 and 1,278.19

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Solution

The third proportional to 600.38 and 1,278.19 is: 2,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.38 : 1,278.19 = 1,278.19 : x
  2. Step 2: Convert to fraction form
    600.38/1,278.19 = 1,278.19/x
  3. Step 3: Cross multiply
    600.38x = 1,278.19 × 1,278.19
  4. Step 4: Simplify right side
    600.38x = 1,633,763.29
  5. Step 5: Solve for x
    x = 1,633,763.29/600.38
  6. Step 6: Final answer
    x = 2,721.24

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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.