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Finding the Third Proportional to 834.19 and 1,711.69

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Solution

The third proportional to 834.19 and 1,711.69 is: 3,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.19 : 1,711.69 = 1,711.69 : x
  2. Step 2: Convert to fraction form
    834.19/1,711.69 = 1,711.69/x
  3. Step 3: Cross multiply
    834.19x = 1,711.69 × 1,711.69
  4. Step 4: Simplify right side
    834.19x = 2,929,874.10
  5. Step 5: Solve for x
    x = 2,929,874.10/834.19
  6. Step 6: Final answer
    x = 3,512.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.