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Finding the Third Proportional to 375,882 and 782,868

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Solution

The third proportional to 375,882 and 782,868 is: 1,630,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,882 : 782,868 = 782,868 : x
  2. Step 2: Convert to fraction form
    375,882/782,868 = 782,868/x
  3. Step 3: Cross multiply
    375,882x = 782,868 × 782,868
  4. Step 4: Simplify right side
    375,882x = 612,882,305,424
  5. Step 5: Solve for x
    x = 612,882,305,424/375,882
  6. Step 6: Final answer
    x = 1,630,517.84

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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.