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Finding the Third Proportional to 819.94 and 1,800.75

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Solution

The third proportional to 819.94 and 1,800.75 is: 3,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.94 : 1,800.75 = 1,800.75 : x
  2. Step 2: Convert to fraction form
    819.94/1,800.75 = 1,800.75/x
  3. Step 3: Cross multiply
    819.94x = 1,800.75 × 1,800.75
  4. Step 4: Simplify right side
    819.94x = 3,242,700.56
  5. Step 5: Solve for x
    x = 3,242,700.56/819.94
  6. Step 6: Final answer
    x = 3,954.81

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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.