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Finding the Third Proportional to 375,885 and 782,874

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Solution

The third proportional to 375,885 and 782,874 is: 1,630,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,885 : 782,874 = 782,874 : x
  2. Step 2: Convert to fraction form
    375,885/782,874 = 782,874/x
  3. Step 3: Cross multiply
    375,885x = 782,874 × 782,874
  4. Step 4: Simplify right side
    375,885x = 612,891,699,876
  5. Step 5: Solve for x
    x = 612,891,699,876/375,885
  6. Step 6: Final answer
    x = 1,630,529.82

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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.