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Finding the Third Proportional to 276,468 and 582,441

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Solution

The third proportional to 276,468 and 582,441 is: 1,227,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,468 : 582,441 = 582,441 : x
  2. Step 2: Convert to fraction form
    276,468/582,441 = 582,441/x
  3. Step 3: Cross multiply
    276,468x = 582,441 × 582,441
  4. Step 4: Simplify right side
    276,468x = 339,237,518,481
  5. Step 5: Solve for x
    x = 339,237,518,481/276,468
  6. Step 6: Final answer
    x = 1,227,040.81

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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.