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Finding the Third Proportional to 244,821 and 519,034

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Solution

The third proportional to 244,821 and 519,034 is: 1,100,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,821 : 519,034 = 519,034 : x
  2. Step 2: Convert to fraction form
    244,821/519,034 = 519,034/x
  3. Step 3: Cross multiply
    244,821x = 519,034 × 519,034
  4. Step 4: Simplify right side
    244,821x = 269,396,293,156
  5. Step 5: Solve for x
    x = 269,396,293,156/244,821
  6. Step 6: Final answer
    x = 1,100,380.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.