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Finding the Third Proportional to 184,466 and 396,954

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Solution

The third proportional to 184,466 and 396,954 is: 854,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,466 : 396,954 = 396,954 : x
  2. Step 2: Convert to fraction form
    184,466/396,954 = 396,954/x
  3. Step 3: Cross multiply
    184,466x = 396,954 × 396,954
  4. Step 4: Simplify right side
    184,466x = 157,572,478,116
  5. Step 5: Solve for x
    x = 157,572,478,116/184,466
  6. Step 6: Final answer
    x = 854,208.79

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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.