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Finding the Third Proportional to 996.80 and 1,641.20

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Solution

The third proportional to 996.80 and 1,641.20 is: 2,702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.80 : 1,641.20 = 1,641.20 : x
  2. Step 2: Convert to fraction form
    996.80/1,641.20 = 1,641.20/x
  3. Step 3: Cross multiply
    996.80x = 1,641.20 × 1,641.20
  4. Step 4: Simplify right side
    996.80x = 2,693,534.88
  5. Step 5: Solve for x
    x = 2,693,534.88/996.80
  6. Step 6: Final answer
    x = 2,702.19

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.