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Finding the Third Proportional to 447,997.50 and 948,462.75

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Solution

The third proportional to 447,997.50 and 948,462.75 is: 2,008,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,997.50 : 948,462.75 = 948,462.75 : x
  2. Step 2: Convert to fraction form
    447,997.50/948,462.75 = 948,462.75/x
  3. Step 3: Cross multiply
    447,997.50x = 948,462.75 × 948,462.75
  4. Step 4: Simplify right side
    447,997.50x = 899,581,588,137.56
  5. Step 5: Solve for x
    x = 899,581,588,137.56/447,997.50
  6. Step 6: Final answer
    x = 2,008,005.82

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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.