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Finding the Third Proportional to 261,684 and 582,576

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Solution

The third proportional to 261,684 and 582,576 is: 1,296,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,684 : 582,576 = 582,576 : x
  2. Step 2: Convert to fraction form
    261,684/582,576 = 582,576/x
  3. Step 3: Cross multiply
    261,684x = 582,576 × 582,576
  4. Step 4: Simplify right side
    261,684x = 339,394,795,776
  5. Step 5: Solve for x
    x = 339,394,795,776/261,684
  6. Step 6: Final answer
    x = 1,296,964.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.