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Finding the Third Proportional to 392,331 and 831,749

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Solution

The third proportional to 392,331 and 831,749 is: 1,763,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,331 : 831,749 = 831,749 : x
  2. Step 2: Convert to fraction form
    392,331/831,749 = 831,749/x
  3. Step 3: Cross multiply
    392,331x = 831,749 × 831,749
  4. Step 4: Simplify right side
    392,331x = 691,806,399,001
  5. Step 5: Solve for x
    x = 691,806,399,001/392,331
  6. Step 6: Final answer
    x = 1,763,323.31

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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.