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Finding the Third Proportional to 274,158 and 419,013

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Solution

The third proportional to 274,158 and 419,013 is: 640,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,158 : 419,013 = 419,013 : x
  2. Step 2: Convert to fraction form
    274,158/419,013 = 419,013/x
  3. Step 3: Cross multiply
    274,158x = 419,013 × 419,013
  4. Step 4: Simplify right side
    274,158x = 175,571,894,169
  5. Step 5: Solve for x
    x = 175,571,894,169/274,158
  6. Step 6: Final answer
    x = 640,404.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.