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Finding the Third Proportional to 599.13 and 1,277.93

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Solution

The third proportional to 599.13 and 1,277.93 is: 2,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.13 : 1,277.93 = 1,277.93 : x
  2. Step 2: Convert to fraction form
    599.13/1,277.93 = 1,277.93/x
  3. Step 3: Cross multiply
    599.13x = 1,277.93 × 1,277.93
  4. Step 4: Simplify right side
    599.13x = 1,633,104.29
  5. Step 5: Solve for x
    x = 1,633,104.29/599.13
  6. Step 6: Final answer
    x = 2,725.78

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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.