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Finding the Third Proportional to 192,969 and 413,622

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Solution

The third proportional to 192,969 and 413,622 is: 886,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,969 : 413,622 = 413,622 : x
  2. Step 2: Convert to fraction form
    192,969/413,622 = 413,622/x
  3. Step 3: Cross multiply
    192,969x = 413,622 × 413,622
  4. Step 4: Simplify right side
    192,969x = 171,083,158,884
  5. Step 5: Solve for x
    x = 171,083,158,884/192,969
  6. Step 6: Final answer
    x = 886,583.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.