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Finding the Third Proportional to 789.19 and 1,603.69

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Solution

The third proportional to 789.19 and 1,603.69 is: 3,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.19 : 1,603.69 = 1,603.69 : x
  2. Step 2: Convert to fraction form
    789.19/1,603.69 = 1,603.69/x
  3. Step 3: Cross multiply
    789.19x = 1,603.69 × 1,603.69
  4. Step 4: Simplify right side
    789.19x = 2,571,813.60
  5. Step 5: Solve for x
    x = 2,571,813.60/789.19
  6. Step 6: Final answer
    x = 3,258.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.