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Finding the Third Proportional to 250,702 and 388,380

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Solution

The third proportional to 250,702 and 388,380 is: 601,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,702 : 388,380 = 388,380 : x
  2. Step 2: Convert to fraction form
    250,702/388,380 = 388,380/x
  3. Step 3: Cross multiply
    250,702x = 388,380 × 388,380
  4. Step 4: Simplify right side
    250,702x = 150,839,024,400
  5. Step 5: Solve for x
    x = 150,839,024,400/250,702
  6. Step 6: Final answer
    x = 601,666.62

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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.