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Finding the Third Proportional to 300,982 and 626,876

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Solution

The third proportional to 300,982 and 626,876 is: 1,305,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,982 : 626,876 = 626,876 : x
  2. Step 2: Convert to fraction form
    300,982/626,876 = 626,876/x
  3. Step 3: Cross multiply
    300,982x = 626,876 × 626,876
  4. Step 4: Simplify right side
    300,982x = 392,973,519,376
  5. Step 5: Solve for x
    x = 392,973,519,376/300,982
  6. Step 6: Final answer
    x = 1,305,637.94

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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.