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Finding the Third Proportional to 327,021 and 693,679.50

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Solution

The third proportional to 327,021 and 693,679.50 is: 1,471,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,021 : 693,679.50 = 693,679.50 : x
  2. Step 2: Convert to fraction form
    327,021/693,679.50 = 693,679.50/x
  3. Step 3: Cross multiply
    327,021x = 693,679.50 × 693,679.50
  4. Step 4: Simplify right side
    327,021x = 481,191,248,720.25
  5. Step 5: Solve for x
    x = 481,191,248,720.25/327,021
  6. Step 6: Final answer
    x = 1,471,438.37

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