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Finding the Third Proportional to 250,816 and 388,524

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Solution

The third proportional to 250,816 and 388,524 is: 601,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,816 : 388,524 = 388,524 : x
  2. Step 2: Convert to fraction form
    250,816/388,524 = 388,524/x
  3. Step 3: Cross multiply
    250,816x = 388,524 × 388,524
  4. Step 4: Simplify right side
    250,816x = 150,950,898,576
  5. Step 5: Solve for x
    x = 150,950,898,576/250,816
  6. Step 6: Final answer
    x = 601,839.19

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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.