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Finding the Third Proportional to 785.95 and 1,198.23

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Solution

The third proportional to 785.95 and 1,198.23 is: 1,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.95 : 1,198.23 = 1,198.23 : x
  2. Step 2: Convert to fraction form
    785.95/1,198.23 = 1,198.23/x
  3. Step 3: Cross multiply
    785.95x = 1,198.23 × 1,198.23
  4. Step 4: Simplify right side
    785.95x = 1,435,756.26
  5. Step 5: Solve for x
    x = 1,435,756.26/785.95
  6. Step 6: Final answer
    x = 1,826.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.