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Finding the Third Proportional to 797.91 and 1,282.36

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Solution

The third proportional to 797.91 and 1,282.36 is: 2,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.91 : 1,282.36 = 1,282.36 : x
  2. Step 2: Convert to fraction form
    797.91/1,282.36 = 1,282.36/x
  3. Step 3: Cross multiply
    797.91x = 1,282.36 × 1,282.36
  4. Step 4: Simplify right side
    797.91x = 1,644,445.57
  5. Step 5: Solve for x
    x = 1,644,445.57/797.91
  6. Step 6: Final answer
    x = 2,060.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.