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Finding the Third Proportional to 779.13 and 1,197.52

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Solution

The third proportional to 779.13 and 1,197.52 is: 1,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.13 : 1,197.52 = 1,197.52 : x
  2. Step 2: Convert to fraction form
    779.13/1,197.52 = 1,197.52/x
  3. Step 3: Cross multiply
    779.13x = 1,197.52 × 1,197.52
  4. Step 4: Simplify right side
    779.13x = 1,434,043.67
  5. Step 5: Solve for x
    x = 1,434,043.67/779.13
  6. Step 6: Final answer
    x = 1,840.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.