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Finding the Third Proportional to 392,434 and 831,616

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Solution

The third proportional to 392,434 and 831,616 is: 1,762,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,434 : 831,616 = 831,616 : x
  2. Step 2: Convert to fraction form
    392,434/831,616 = 831,616/x
  3. Step 3: Cross multiply
    392,434x = 831,616 × 831,616
  4. Step 4: Simplify right side
    392,434x = 691,585,171,456
  5. Step 5: Solve for x
    x = 691,585,171,456/392,434
  6. Step 6: Final answer
    x = 1,762,296.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.