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Finding the Third Proportional to 208,408.50 and 447,885

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Solution

The third proportional to 208,408.50 and 447,885 is: 962,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,408.50 : 447,885 = 447,885 : x
  2. Step 2: Convert to fraction form
    208,408.50/447,885 = 447,885/x
  3. Step 3: Cross multiply
    208,408.50x = 447,885 × 447,885
  4. Step 4: Simplify right side
    208,408.50x = 200,600,973,225
  5. Step 5: Solve for x
    x = 200,600,973,225/208,408.50
  6. Step 6: Final answer
    x = 962,537.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.