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Finding the Third Proportional to 419,554 and 629,187

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Solution

The third proportional to 419,554 and 629,187 is: 943,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,554 : 629,187 = 629,187 : x
  2. Step 2: Convert to fraction form
    419,554/629,187 = 629,187/x
  3. Step 3: Cross multiply
    419,554x = 629,187 × 629,187
  4. Step 4: Simplify right side
    419,554x = 395,876,280,969
  5. Step 5: Solve for x
    x = 395,876,280,969/419,554
  6. Step 6: Final answer
    x = 943,564.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.