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Finding the Third Proportional to 363,193.50 and 843,993

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Solution

The third proportional to 363,193.50 and 843,993 is: 1,961,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,193.50 : 843,993 = 843,993 : x
  2. Step 2: Convert to fraction form
    363,193.50/843,993 = 843,993/x
  3. Step 3: Cross multiply
    363,193.50x = 843,993 × 843,993
  4. Step 4: Simplify right side
    363,193.50x = 712,324,184,049
  5. Step 5: Solve for x
    x = 712,324,184,049/363,193.50
  6. Step 6: Final answer
    x = 1,961,280.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.