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Finding the Third Proportional to 268,242 and 582,616

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Solution

The third proportional to 268,242 and 582,616 is: 1,265,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,242 : 582,616 = 582,616 : x
  2. Step 2: Convert to fraction form
    268,242/582,616 = 582,616/x
  3. Step 3: Cross multiply
    268,242x = 582,616 × 582,616
  4. Step 4: Simplify right side
    268,242x = 339,441,403,456
  5. Step 5: Solve for x
    x = 339,441,403,456/268,242
  6. Step 6: Final answer
    x = 1,265,429.74

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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.