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Finding the Third Proportional to 300,981 and 626,874

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Solution

The third proportional to 300,981 and 626,874 is: 1,305,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,981 : 626,874 = 626,874 : x
  2. Step 2: Convert to fraction form
    300,981/626,874 = 626,874/x
  3. Step 3: Cross multiply
    300,981x = 626,874 × 626,874
  4. Step 4: Simplify right side
    300,981x = 392,971,011,876
  5. Step 5: Solve for x
    x = 392,971,011,876/300,981
  6. Step 6: Final answer
    x = 1,305,633.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.