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Finding the Third Proportional to 392,373 and 873,576

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Solution

The third proportional to 392,373 and 873,576 is: 1,944,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,373 : 873,576 = 873,576 : x
  2. Step 2: Convert to fraction form
    392,373/873,576 = 873,576/x
  3. Step 3: Cross multiply
    392,373x = 873,576 × 873,576
  4. Step 4: Simplify right side
    392,373x = 763,135,027,776
  5. Step 5: Solve for x
    x = 763,135,027,776/392,373
  6. Step 6: Final answer
    x = 1,944,922.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.