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Finding the Third Proportional to 269,798 and 582,823

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Solution

The third proportional to 269,798 and 582,823 is: 1,259,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,798 : 582,823 = 582,823 : x
  2. Step 2: Convert to fraction form
    269,798/582,823 = 582,823/x
  3. Step 3: Cross multiply
    269,798x = 582,823 × 582,823
  4. Step 4: Simplify right side
    269,798x = 339,682,649,329
  5. Step 5: Solve for x
    x = 339,682,649,329/269,798
  6. Step 6: Final answer
    x = 1,259,025.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.