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Finding the Third Proportional to 600.94 and 1,227.19

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Solution

The third proportional to 600.94 and 1,227.19 is: 2,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.94 : 1,227.19 = 1,227.19 : x
  2. Step 2: Convert to fraction form
    600.94/1,227.19 = 1,227.19/x
  3. Step 3: Cross multiply
    600.94x = 1,227.19 × 1,227.19
  4. Step 4: Simplify right side
    600.94x = 1,505,989.16
  5. Step 5: Solve for x
    x = 1,505,989.16/600.94
  6. Step 6: Final answer
    x = 2,506.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.