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Finding the Third Proportional to 1,703 and 1,879

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Solution

The third proportional to 1,703 and 1,879 is: 2,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703 : 1,879 = 1,879 : x
  2. Step 2: Convert to fraction form
    1,703/1,879 = 1,879/x
  3. Step 3: Cross multiply
    1,703x = 1,879 × 1,879
  4. Step 4: Simplify right side
    1,703x = 3,530,641
  5. Step 5: Solve for x
    x = 3,530,641/1,703
  6. Step 6: Final answer
    x = 2,073.19

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.