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Finding the Third Proportional to 446,272 and 624,198

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Solution

The third proportional to 446,272 and 624,198 is: 873,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,272 : 624,198 = 624,198 : x
  2. Step 2: Convert to fraction form
    446,272/624,198 = 624,198/x
  3. Step 3: Cross multiply
    446,272x = 624,198 × 624,198
  4. Step 4: Simplify right side
    446,272x = 389,623,143,204
  5. Step 5: Solve for x
    x = 389,623,143,204/446,272
  6. Step 6: Final answer
    x = 873,062.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.