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Finding the Third Proportional to 244,268 and 388,569

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Solution

The third proportional to 244,268 and 388,569 is: 618,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,268 : 388,569 = 388,569 : x
  2. Step 2: Convert to fraction form
    244,268/388,569 = 388,569/x
  3. Step 3: Cross multiply
    244,268x = 388,569 × 388,569
  4. Step 4: Simplify right side
    244,268x = 150,985,867,761
  5. Step 5: Solve for x
    x = 150,985,867,761/244,268
  6. Step 6: Final answer
    x = 618,115.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.