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Finding the Third Proportional to 203,692.50 and 447,993

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Solution

The third proportional to 203,692.50 and 447,993 is: 985,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,692.50 : 447,993 = 447,993 : x
  2. Step 2: Convert to fraction form
    203,692.50/447,993 = 447,993/x
  3. Step 3: Cross multiply
    203,692.50x = 447,993 × 447,993
  4. Step 4: Simplify right side
    203,692.50x = 200,697,728,049
  5. Step 5: Solve for x
    x = 200,697,728,049/203,692.50
  6. Step 6: Final answer
    x = 985,297.58

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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.