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Finding the Third Proportional to 392,504 and 873,832

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Solution

The third proportional to 392,504 and 873,832 is: 1,945,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,504 : 873,832 = 873,832 : x
  2. Step 2: Convert to fraction form
    392,504/873,832 = 873,832/x
  3. Step 3: Cross multiply
    392,504x = 873,832 × 873,832
  4. Step 4: Simplify right side
    392,504x = 763,582,364,224
  5. Step 5: Solve for x
    x = 763,582,364,224/392,504
  6. Step 6: Final answer
    x = 1,945,412.95

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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.