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Finding the Third Proportional to 600.19 and 1,252.69

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Solution

The third proportional to 600.19 and 1,252.69 is: 2,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.19 : 1,252.69 = 1,252.69 : x
  2. Step 2: Convert to fraction form
    600.19/1,252.69 = 1,252.69/x
  3. Step 3: Cross multiply
    600.19x = 1,252.69 × 1,252.69
  4. Step 4: Simplify right side
    600.19x = 1,569,225.97
  5. Step 5: Solve for x
    x = 1,569,225.97/600.19
  6. Step 6: Final answer
    x = 2,614.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.