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Finding the Third Proportional to 250,600 and 388,626

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Solution

The third proportional to 250,600 and 388,626 is: 602,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,600 : 388,626 = 388,626 : x
  2. Step 2: Convert to fraction form
    250,600/388,626 = 388,626/x
  3. Step 3: Cross multiply
    250,600x = 388,626 × 388,626
  4. Step 4: Simplify right side
    250,600x = 151,030,167,876
  5. Step 5: Solve for x
    x = 151,030,167,876/250,600
  6. Step 6: Final answer
    x = 602,674.25

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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.