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Finding the Third Proportional to 392,296 and 838,536

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Solution

The third proportional to 392,296 and 838,536 is: 1,792,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,296 : 838,536 = 838,536 : x
  2. Step 2: Convert to fraction form
    392,296/838,536 = 838,536/x
  3. Step 3: Cross multiply
    392,296x = 838,536 × 838,536
  4. Step 4: Simplify right side
    392,296x = 703,142,623,296
  5. Step 5: Solve for x
    x = 703,142,623,296/392,296
  6. Step 6: Final answer
    x = 1,792,377.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.