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Finding the Third Proportional to 376.25 and 778.72

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Solution

The third proportional to 376.25 and 778.72 is: 1,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.25 : 778.72 = 778.72 : x
  2. Step 2: Convert to fraction form
    376.25/778.72 = 778.72/x
  3. Step 3: Cross multiply
    376.25x = 778.72 × 778.72
  4. Step 4: Simplify right side
    376.25x = 606,397.57
  5. Step 5: Solve for x
    x = 606,397.57/376.25
  6. Step 6: Final answer
    x = 1,611.70

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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.