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Finding the Third Proportional to 391,876 and 800,348

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Solution

The third proportional to 391,876 and 800,348 is: 1,634,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,876 : 800,348 = 800,348 : x
  2. Step 2: Convert to fraction form
    391,876/800,348 = 800,348/x
  3. Step 3: Cross multiply
    391,876x = 800,348 × 800,348
  4. Step 4: Simplify right side
    391,876x = 640,556,921,104
  5. Step 5: Solve for x
    x = 640,556,921,104/391,876
  6. Step 6: Final answer
    x = 1,634,590.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.