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Finding the Third Proportional to 639.75 and 1,020.19

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Solution

The third proportional to 639.75 and 1,020.19 is: 1,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.75 : 1,020.19 = 1,020.19 : x
  2. Step 2: Convert to fraction form
    639.75/1,020.19 = 1,020.19/x
  3. Step 3: Cross multiply
    639.75x = 1,020.19 × 1,020.19
  4. Step 4: Simplify right side
    639.75x = 1,040,782.54
  5. Step 5: Solve for x
    x = 1,040,782.54/639.75
  6. Step 6: Final answer
    x = 1,626.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.