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Finding the Third Proportional to 244,847 and 519,076

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Solution

The third proportional to 244,847 and 519,076 is: 1,100,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,847 : 519,076 = 519,076 : x
  2. Step 2: Convert to fraction form
    244,847/519,076 = 519,076/x
  3. Step 3: Cross multiply
    244,847x = 519,076 × 519,076
  4. Step 4: Simplify right side
    244,847x = 269,439,893,776
  5. Step 5: Solve for x
    x = 269,439,893,776/244,847
  6. Step 6: Final answer
    x = 1,100,441.88

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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.