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Finding the Third Proportional to 375.61 and 806.70

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Solution

The third proportional to 375.61 and 806.70 is: 1,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.61 : 806.70 = 806.70 : x
  2. Step 2: Convert to fraction form
    375.61/806.70 = 806.70/x
  3. Step 3: Cross multiply
    375.61x = 806.70 × 806.70
  4. Step 4: Simplify right side
    375.61x = 650,757.33
  5. Step 5: Solve for x
    x = 650,757.33/375.61
  6. Step 6: Final answer
    x = 1,732.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.