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Finding the Third Proportional to 327,997.50 and 720,201

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Solution

The third proportional to 327,997.50 and 720,201 is: 1,581,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,997.50 : 720,201 = 720,201 : x
  2. Step 2: Convert to fraction form
    327,997.50/720,201 = 720,201/x
  3. Step 3: Cross multiply
    327,997.50x = 720,201 × 720,201
  4. Step 4: Simplify right side
    327,997.50x = 518,689,480,401
  5. Step 5: Solve for x
    x = 518,689,480,401/327,997.50
  6. Step 6: Final answer
    x = 1,581,382.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.