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Finding the Third Proportional to 244,485 and 504,198

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Solution

The third proportional to 244,485 and 504,198 is: 1,039,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,485 : 504,198 = 504,198 : x
  2. Step 2: Convert to fraction form
    244,485/504,198 = 504,198/x
  3. Step 3: Cross multiply
    244,485x = 504,198 × 504,198
  4. Step 4: Simplify right side
    244,485x = 254,215,623,204
  5. Step 5: Solve for x
    x = 254,215,623,204/244,485
  6. Step 6: Final answer
    x = 1,039,800.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.