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Finding the Third Proportional to 268,988 and 582,508

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Solution

The third proportional to 268,988 and 582,508 is: 1,261,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,988 : 582,508 = 582,508 : x
  2. Step 2: Convert to fraction form
    268,988/582,508 = 582,508/x
  3. Step 3: Cross multiply
    268,988x = 582,508 × 582,508
  4. Step 4: Simplify right side
    268,988x = 339,315,570,064
  5. Step 5: Solve for x
    x = 339,315,570,064/268,988
  6. Step 6: Final answer
    x = 1,261,452.44

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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.