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Finding the Third Proportional to 834.68 and 2,200.92

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Solution

The third proportional to 834.68 and 2,200.92 is: 5,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.68 : 2,200.92 = 2,200.92 : x
  2. Step 2: Convert to fraction form
    834.68/2,200.92 = 2,200.92/x
  3. Step 3: Cross multiply
    834.68x = 2,200.92 × 2,200.92
  4. Step 4: Simplify right side
    834.68x = 4,844,057.10
  5. Step 5: Solve for x
    x = 4,844,057.10/834.68
  6. Step 6: Final answer
    x = 5,803.49

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.