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Finding the Third Proportional to 392,321.50 and 831,723

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Solution

The third proportional to 392,321.50 and 831,723 is: 1,763,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,321.50 : 831,723 = 831,723 : x
  2. Step 2: Convert to fraction form
    392,321.50/831,723 = 831,723/x
  3. Step 3: Cross multiply
    392,321.50x = 831,723 × 831,723
  4. Step 4: Simplify right side
    392,321.50x = 691,763,148,729
  5. Step 5: Solve for x
    x = 691,763,148,729/392,321.50
  6. Step 6: Final answer
    x = 1,763,255.77

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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.