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Finding the Third Proportional to 642.75 and 1,399.13

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Solution

The third proportional to 642.75 and 1,399.13 is: 3,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.75 : 1,399.13 = 1,399.13 : x
  2. Step 2: Convert to fraction form
    642.75/1,399.13 = 1,399.13/x
  3. Step 3: Cross multiply
    642.75x = 1,399.13 × 1,399.13
  4. Step 4: Simplify right side
    642.75x = 1,957,550.77
  5. Step 5: Solve for x
    x = 1,957,550.77/642.75
  6. Step 6: Final answer
    x = 3,045.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.