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Finding the Third Proportional to 797.91 and 1,273.78

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Solution

The third proportional to 797.91 and 1,273.78 is: 2,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.91 : 1,273.78 = 1,273.78 : x
  2. Step 2: Convert to fraction form
    797.91/1,273.78 = 1,273.78/x
  3. Step 3: Cross multiply
    797.91x = 1,273.78 × 1,273.78
  4. Step 4: Simplify right side
    797.91x = 1,622,518.67
  5. Step 5: Solve for x
    x = 1,622,518.67/797.91
  6. Step 6: Final answer
    x = 2,033.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.