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Finding the Third Proportional to 270,670 and 582,812

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Solution

The third proportional to 270,670 and 582,812 is: 1,254,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,670 : 582,812 = 582,812 : x
  2. Step 2: Convert to fraction form
    270,670/582,812 = 582,812/x
  3. Step 3: Cross multiply
    270,670x = 582,812 × 582,812
  4. Step 4: Simplify right side
    270,670x = 339,669,827,344
  5. Step 5: Solve for x
    x = 339,669,827,344/270,670
  6. Step 6: Final answer
    x = 1,254,922.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.