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Finding the Third Proportional to 775.97 and 1,604.25

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Solution

The third proportional to 775.97 and 1,604.25 is: 3,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.97 : 1,604.25 = 1,604.25 : x
  2. Step 2: Convert to fraction form
    775.97/1,604.25 = 1,604.25/x
  3. Step 3: Cross multiply
    775.97x = 1,604.25 × 1,604.25
  4. Step 4: Simplify right side
    775.97x = 2,573,618.06
  5. Step 5: Solve for x
    x = 2,573,618.06/775.97
  6. Step 6: Final answer
    x = 3,316.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.