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Finding the Third Proportional to 327,027 and 701,336

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Solution

The third proportional to 327,027 and 701,336 is: 1,504,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,027 : 701,336 = 701,336 : x
  2. Step 2: Convert to fraction form
    327,027/701,336 = 701,336/x
  3. Step 3: Cross multiply
    327,027x = 701,336 × 701,336
  4. Step 4: Simplify right side
    327,027x = 491,872,184,896
  5. Step 5: Solve for x
    x = 491,872,184,896/327,027
  6. Step 6: Final answer
    x = 1,504,072.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.