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Finding the Third Proportional to 327,166 and 701,634

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Solution

The third proportional to 327,166 and 701,634 is: 1,504,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,166 : 701,634 = 701,634 : x
  2. Step 2: Convert to fraction form
    327,166/701,634 = 701,634/x
  3. Step 3: Cross multiply
    327,166x = 701,634 × 701,634
  4. Step 4: Simplify right side
    327,166x = 492,290,269,956
  5. Step 5: Solve for x
    x = 492,290,269,956/327,166
  6. Step 6: Final answer
    x = 1,504,710.97

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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.