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Finding the Third Proportional to 323,686 and 490,027

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Solution

The third proportional to 323,686 and 490,027 is: 741,850.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,686 : 490,027 = 490,027 : x
  2. Step 2: Convert to fraction form
    323,686/490,027 = 490,027/x
  3. Step 3: Cross multiply
    323,686x = 490,027 × 490,027
  4. Step 4: Simplify right side
    323,686x = 240,126,460,729
  5. Step 5: Solve for x
    x = 240,126,460,729/323,686
  6. Step 6: Final answer
    x = 741,850.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.