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Finding the Third Proportional to 244,822 and 519,048

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Solution

The third proportional to 244,822 and 519,048 is: 1,100,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,822 : 519,048 = 519,048 : x
  2. Step 2: Convert to fraction form
    244,822/519,048 = 519,048/x
  3. Step 3: Cross multiply
    244,822x = 519,048 × 519,048
  4. Step 4: Simplify right side
    244,822x = 269,410,826,304
  5. Step 5: Solve for x
    x = 269,410,826,304/244,822
  6. Step 6: Final answer
    x = 1,100,435.53

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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.