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Finding the Third Proportional to 600.54 and 1,299.80

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Solution

The third proportional to 600.54 and 1,299.80 is: 2,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.54 : 1,299.80 = 1,299.80 : x
  2. Step 2: Convert to fraction form
    600.54/1,299.80 = 1,299.80/x
  3. Step 3: Cross multiply
    600.54x = 1,299.80 × 1,299.80
  4. Step 4: Simplify right side
    600.54x = 1,689,471.92
  5. Step 5: Solve for x
    x = 1,689,471.92/600.54
  6. Step 6: Final answer
    x = 2,813.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.