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Finding the Third Proportional to 797.50 and 1,279.75

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Solution

The third proportional to 797.50 and 1,279.75 is: 2,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.50 : 1,279.75 = 1,279.75 : x
  2. Step 2: Convert to fraction form
    797.50/1,279.75 = 1,279.75/x
  3. Step 3: Cross multiply
    797.50x = 1,279.75 × 1,279.75
  4. Step 4: Simplify right side
    797.50x = 1,637,760.06
  5. Step 5: Solve for x
    x = 1,637,760.06/797.50
  6. Step 6: Final answer
    x = 2,053.62

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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.