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Finding the Third Proportional to 192,306 and 417,782

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Solution

The third proportional to 192,306 and 417,782 is: 907,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,306 : 417,782 = 417,782 : x
  2. Step 2: Convert to fraction form
    192,306/417,782 = 417,782/x
  3. Step 3: Cross multiply
    192,306x = 417,782 × 417,782
  4. Step 4: Simplify right side
    192,306x = 174,541,799,524
  5. Step 5: Solve for x
    x = 174,541,799,524/192,306
  6. Step 6: Final answer
    x = 907,625.34

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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.