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Finding the Third Proportional to 1,277 and 1,723

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Solution

The third proportional to 1,277 and 1,723 is: 2,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277 : 1,723 = 1,723 : x
  2. Step 2: Convert to fraction form
    1,277/1,723 = 1,723/x
  3. Step 3: Cross multiply
    1,277x = 1,723 × 1,723
  4. Step 4: Simplify right side
    1,277x = 2,968,729
  5. Step 5: Solve for x
    x = 2,968,729/1,277
  6. Step 6: Final answer
    x = 2,324.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.