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Finding the Third Proportional to 244,860 and 519,104

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Solution

The third proportional to 244,860 and 519,104 is: 1,100,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,860 : 519,104 = 519,104 : x
  2. Step 2: Convert to fraction form
    244,860/519,104 = 519,104/x
  3. Step 3: Cross multiply
    244,860x = 519,104 × 519,104
  4. Step 4: Simplify right side
    244,860x = 269,468,962,816
  5. Step 5: Solve for x
    x = 269,468,962,816/244,860
  6. Step 6: Final answer
    x = 1,100,502.18

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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.