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Finding the Third Proportional to 244,267 and 388,565

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Solution

The third proportional to 244,267 and 388,565 is: 618,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,267 : 388,565 = 388,565 : x
  2. Step 2: Convert to fraction form
    244,267/388,565 = 388,565/x
  3. Step 3: Cross multiply
    244,267x = 388,565 × 388,565
  4. Step 4: Simplify right side
    244,267x = 150,982,759,225
  5. Step 5: Solve for x
    x = 150,982,759,225/244,267
  6. Step 6: Final answer
    x = 618,105.43

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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.