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Finding the Third Proportional to 774.38 and 1,197.75

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Solution

The third proportional to 774.38 and 1,197.75 is: 1,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.38 : 1,197.75 = 1,197.75 : x
  2. Step 2: Convert to fraction form
    774.38/1,197.75 = 1,197.75/x
  3. Step 3: Cross multiply
    774.38x = 1,197.75 × 1,197.75
  4. Step 4: Simplify right side
    774.38x = 1,434,605.06
  5. Step 5: Solve for x
    x = 1,434,605.06/774.38
  6. Step 6: Final answer
    x = 1,852.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.