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Finding the Third Proportional to 244,856 and 519,096

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Solution

The third proportional to 244,856 and 519,096 is: 1,100,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,856 : 519,096 = 519,096 : x
  2. Step 2: Convert to fraction form
    244,856/519,096 = 519,096/x
  3. Step 3: Cross multiply
    244,856x = 519,096 × 519,096
  4. Step 4: Simplify right side
    244,856x = 269,460,657,216
  5. Step 5: Solve for x
    x = 269,460,657,216/244,856
  6. Step 6: Final answer
    x = 1,100,486.23

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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.