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Finding the Third Proportional to 378.25 and 794.75

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Solution

The third proportional to 378.25 and 794.75 is: 1,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.25 : 794.75 = 794.75 : x
  2. Step 2: Convert to fraction form
    378.25/794.75 = 794.75/x
  3. Step 3: Cross multiply
    378.25x = 794.75 × 794.75
  4. Step 4: Simplify right side
    378.25x = 631,627.56
  5. Step 5: Solve for x
    x = 631,627.56/378.25
  6. Step 6: Final answer
    x = 1,669.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.