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Finding the Third Proportional to 327,058 and 693,740

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Solution

The third proportional to 327,058 and 693,740 is: 1,471,528.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,058 : 693,740 = 693,740 : x
  2. Step 2: Convert to fraction form
    327,058/693,740 = 693,740/x
  3. Step 3: Cross multiply
    327,058x = 693,740 × 693,740
  4. Step 4: Simplify right side
    327,058x = 481,275,187,600
  5. Step 5: Solve for x
    x = 481,275,187,600/327,058
  6. Step 6: Final answer
    x = 1,471,528.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.