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Finding the Third Proportional to 772.97 and 1,822.78

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Solution

The third proportional to 772.97 and 1,822.78 is: 4,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.97 : 1,822.78 = 1,822.78 : x
  2. Step 2: Convert to fraction form
    772.97/1,822.78 = 1,822.78/x
  3. Step 3: Cross multiply
    772.97x = 1,822.78 × 1,822.78
  4. Step 4: Simplify right side
    772.97x = 3,322,531.49
  5. Step 5: Solve for x
    x = 3,322,531.49/772.97
  6. Step 6: Final answer
    x = 4,298.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.