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Finding the Third Proportional to 370,872 and 800,874

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Solution

The third proportional to 370,872 and 800,874 is: 1,729,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,872 : 800,874 = 800,874 : x
  2. Step 2: Convert to fraction form
    370,872/800,874 = 800,874/x
  3. Step 3: Cross multiply
    370,872x = 800,874 × 800,874
  4. Step 4: Simplify right side
    370,872x = 641,399,163,876
  5. Step 5: Solve for x
    x = 641,399,163,876/370,872
  6. Step 6: Final answer
    x = 1,729,435.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.