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Finding the Third Proportional to 250,844 and 388,569

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Solution

The third proportional to 250,844 and 388,569 is: 601,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,844 : 388,569 = 388,569 : x
  2. Step 2: Convert to fraction form
    250,844/388,569 = 388,569/x
  3. Step 3: Cross multiply
    250,844x = 388,569 × 388,569
  4. Step 4: Simplify right side
    250,844x = 150,985,867,761
  5. Step 5: Solve for x
    x = 150,985,867,761/250,844
  6. Step 6: Final answer
    x = 601,911.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.