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Finding the Third Proportional to 376,231.50 and 582,797.25

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Solution

The third proportional to 376,231.50 and 582,797.25 is: 902,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,231.50 : 582,797.25 = 582,797.25 : x
  2. Step 2: Convert to fraction form
    376,231.50/582,797.25 = 582,797.25/x
  3. Step 3: Cross multiply
    376,231.50x = 582,797.25 × 582,797.25
  4. Step 4: Simplify right side
    376,231.50x = 339,652,634,607.56
  5. Step 5: Solve for x
    x = 339,652,634,607.56/376,231.50
  6. Step 6: Final answer
    x = 902,775.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.