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Finding the Third Proportional to 184,984 and 397,589

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Solution

The third proportional to 184,984 and 397,589 is: 854,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,984 : 397,589 = 397,589 : x
  2. Step 2: Convert to fraction form
    184,984/397,589 = 397,589/x
  3. Step 3: Cross multiply
    184,984x = 397,589 × 397,589
  4. Step 4: Simplify right side
    184,984x = 158,077,012,921
  5. Step 5: Solve for x
    x = 158,077,012,921/184,984
  6. Step 6: Final answer
    x = 854,544.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.