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Finding the Third Proportional to 363,195 and 843,997

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Solution

The third proportional to 363,195 and 843,997 is: 1,961,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,195 : 843,997 = 843,997 : x
  2. Step 2: Convert to fraction form
    363,195/843,997 = 843,997/x
  3. Step 3: Cross multiply
    363,195x = 843,997 × 843,997
  4. Step 4: Simplify right side
    363,195x = 712,330,936,009
  5. Step 5: Solve for x
    x = 712,330,936,009/363,195
  6. Step 6: Final answer
    x = 1,961,290.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.