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Finding the Third Proportional to 296,777 and 699,876

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Solution

The third proportional to 296,777 and 699,876 is: 1,650,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,777 : 699,876 = 699,876 : x
  2. Step 2: Convert to fraction form
    296,777/699,876 = 699,876/x
  3. Step 3: Cross multiply
    296,777x = 699,876 × 699,876
  4. Step 4: Simplify right side
    296,777x = 489,826,415,376
  5. Step 5: Solve for x
    x = 489,826,415,376/296,777
  6. Step 6: Final answer
    x = 1,650,486.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.