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Finding the Third Proportional to 776.75 and 1,708.75

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Solution

The third proportional to 776.75 and 1,708.75 is: 3,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.75 : 1,708.75 = 1,708.75 : x
  2. Step 2: Convert to fraction form
    776.75/1,708.75 = 1,708.75/x
  3. Step 3: Cross multiply
    776.75x = 1,708.75 × 1,708.75
  4. Step 4: Simplify right side
    776.75x = 2,919,826.56
  5. Step 5: Solve for x
    x = 2,919,826.56/776.75
  6. Step 6: Final answer
    x = 3,759.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.