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Finding the Third Proportional to 605,256 and 848,249

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Solution

The third proportional to 605,256 and 848,249 is: 1,188,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,256 : 848,249 = 848,249 : x
  2. Step 2: Convert to fraction form
    605,256/848,249 = 848,249/x
  3. Step 3: Cross multiply
    605,256x = 848,249 × 848,249
  4. Step 4: Simplify right side
    605,256x = 719,526,366,001
  5. Step 5: Solve for x
    x = 719,526,366,001/605,256
  6. Step 6: Final answer
    x = 1,188,796.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.