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Finding the Third Proportional to 276,502 and 582,500

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Solution

The third proportional to 276,502 and 582,500 is: 1,227,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,502 : 582,500 = 582,500 : x
  2. Step 2: Convert to fraction form
    276,502/582,500 = 582,500/x
  3. Step 3: Cross multiply
    276,502x = 582,500 × 582,500
  4. Step 4: Simplify right side
    276,502x = 339,306,250,000
  5. Step 5: Solve for x
    x = 339,306,250,000/276,502
  6. Step 6: Final answer
    x = 1,227,138.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.