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Finding the Third Proportional to 599.34 and 1,288.97

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Solution

The third proportional to 599.34 and 1,288.97 is: 2,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.34 : 1,288.97 = 1,288.97 : x
  2. Step 2: Convert to fraction form
    599.34/1,288.97 = 1,288.97/x
  3. Step 3: Cross multiply
    599.34x = 1,288.97 × 1,288.97
  4. Step 4: Simplify right side
    599.34x = 1,661,440.44
  5. Step 5: Solve for x
    x = 1,661,440.44/599.34
  6. Step 6: Final answer
    x = 2,772.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.