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Finding the Third Proportional to 392,236 and 605,655

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Solution

The third proportional to 392,236 and 605,655 is: 935,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,236 : 605,655 = 605,655 : x
  2. Step 2: Convert to fraction form
    392,236/605,655 = 605,655/x
  3. Step 3: Cross multiply
    392,236x = 605,655 × 605,655
  4. Step 4: Simplify right side
    392,236x = 366,817,979,025
  5. Step 5: Solve for x
    x = 366,817,979,025/392,236
  6. Step 6: Final answer
    x = 935,197.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.