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Finding the Third Proportional to 327,874 and 676,196

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Solution

The third proportional to 327,874 and 676,196 is: 1,394,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,874 : 676,196 = 676,196 : x
  2. Step 2: Convert to fraction form
    327,874/676,196 = 676,196/x
  3. Step 3: Cross multiply
    327,874x = 676,196 × 676,196
  4. Step 4: Simplify right side
    327,874x = 457,241,030,416
  5. Step 5: Solve for x
    x = 457,241,030,416/327,874
  6. Step 6: Final answer
    x = 1,394,563.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.