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Finding the Third Proportional to 375,884 and 782,866

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Solution

The third proportional to 375,884 and 782,866 is: 1,630,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,884 : 782,866 = 782,866 : x
  2. Step 2: Convert to fraction form
    375,884/782,866 = 782,866/x
  3. Step 3: Cross multiply
    375,884x = 782,866 × 782,866
  4. Step 4: Simplify right side
    375,884x = 612,879,173,956
  5. Step 5: Solve for x
    x = 612,879,173,956/375,884
  6. Step 6: Final answer
    x = 1,630,500.83

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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.