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Finding the Third Proportional to 268,236 and 582,606

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Solution

The third proportional to 268,236 and 582,606 is: 1,265,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,236 : 582,606 = 582,606 : x
  2. Step 2: Convert to fraction form
    268,236/582,606 = 582,606/x
  3. Step 3: Cross multiply
    268,236x = 582,606 × 582,606
  4. Step 4: Simplify right side
    268,236x = 339,429,751,236
  5. Step 5: Solve for x
    x = 339,429,751,236/268,236
  6. Step 6: Final answer
    x = 1,265,414.60

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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.