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Finding the Third Proportional to 192,002 and 426,622

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Solution

The third proportional to 192,002 and 426,622 is: 947,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,002 : 426,622 = 426,622 : x
  2. Step 2: Convert to fraction form
    192,002/426,622 = 426,622/x
  3. Step 3: Cross multiply
    192,002x = 426,622 × 426,622
  4. Step 4: Simplify right side
    192,002x = 182,006,330,884
  5. Step 5: Solve for x
    x = 182,006,330,884/192,002
  6. Step 6: Final answer
    x = 947,939.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.