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Finding the Third Proportional to 392,233.50 and 605,651.50

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Solution

The third proportional to 392,233.50 and 605,651.50 is: 935,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,233.50 : 605,651.50 = 605,651.50 : x
  2. Step 2: Convert to fraction form
    392,233.50/605,651.50 = 605,651.50/x
  3. Step 3: Cross multiply
    392,233.50x = 605,651.50 × 605,651.50
  4. Step 4: Simplify right side
    392,233.50x = 366,813,739,452.25
  5. Step 5: Solve for x
    x = 366,813,739,452.25/392,233.50
  6. Step 6: Final answer
    x = 935,192.28

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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.