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Finding the Third Proportional to 192,296 and 417,762

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Solution

The third proportional to 192,296 and 417,762 is: 907,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,296 : 417,762 = 417,762 : x
  2. Step 2: Convert to fraction form
    192,296/417,762 = 417,762/x
  3. Step 3: Cross multiply
    192,296x = 417,762 × 417,762
  4. Step 4: Simplify right side
    192,296x = 174,525,088,644
  5. Step 5: Solve for x
    x = 174,525,088,644/192,296
  6. Step 6: Final answer
    x = 907,585.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.