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Finding the Third Proportional to 389,515 and 582,715.50

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Solution

The third proportional to 389,515 and 582,715.50 is: 871,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,515 : 582,715.50 = 582,715.50 : x
  2. Step 2: Convert to fraction form
    389,515/582,715.50 = 582,715.50/x
  3. Step 3: Cross multiply
    389,515x = 582,715.50 × 582,715.50
  4. Step 4: Simplify right side
    389,515x = 339,557,353,940.25
  5. Step 5: Solve for x
    x = 339,557,353,940.25/389,515
  6. Step 6: Final answer
    x = 871,743.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.