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Finding the Third Proportional to 327,225 and 693,996

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Solution

The third proportional to 327,225 and 693,996 is: 1,471,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,225 : 693,996 = 693,996 : x
  2. Step 2: Convert to fraction form
    327,225/693,996 = 693,996/x
  3. Step 3: Cross multiply
    327,225x = 693,996 × 693,996
  4. Step 4: Simplify right side
    327,225x = 481,630,448,016
  5. Step 5: Solve for x
    x = 481,630,448,016/327,225
  6. Step 6: Final answer
    x = 1,471,863.24

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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.