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Finding the Third Proportional to 244,816 and 519,021

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Solution

The third proportional to 244,816 and 519,021 is: 1,100,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,816 : 519,021 = 519,021 : x
  2. Step 2: Convert to fraction form
    244,816/519,021 = 519,021/x
  3. Step 3: Cross multiply
    244,816x = 519,021 × 519,021
  4. Step 4: Simplify right side
    244,816x = 269,382,798,441
  5. Step 5: Solve for x
    x = 269,382,798,441/244,816
  6. Step 6: Final answer
    x = 1,100,348.01

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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.