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Finding the Third Proportional to 834.19 and 1,790.82

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Solution

The third proportional to 834.19 and 1,790.82 is: 3,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.19 : 1,790.82 = 1,790.82 : x
  2. Step 2: Convert to fraction form
    834.19/1,790.82 = 1,790.82/x
  3. Step 3: Cross multiply
    834.19x = 1,790.82 × 1,790.82
  4. Step 4: Simplify right side
    834.19x = 3,207,035.64
  5. Step 5: Solve for x
    x = 3,207,035.64/834.19
  6. Step 6: Final answer
    x = 3,844.51

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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.