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Finding the Third Proportional to 269,194 and 582,968

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Solution

The third proportional to 269,194 and 582,968 is: 1,262,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,194 : 582,968 = 582,968 : x
  2. Step 2: Convert to fraction form
    269,194/582,968 = 582,968/x
  3. Step 3: Cross multiply
    269,194x = 582,968 × 582,968
  4. Step 4: Simplify right side
    269,194x = 339,851,689,024
  5. Step 5: Solve for x
    x = 339,851,689,024/269,194
  6. Step 6: Final answer
    x = 1,262,478.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.