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Finding the Third Proportional to 261,668 and 582,544

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Solution

The third proportional to 261,668 and 582,544 is: 1,296,901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,668 : 582,544 = 582,544 : x
  2. Step 2: Convert to fraction form
    261,668/582,544 = 582,544/x
  3. Step 3: Cross multiply
    261,668x = 582,544 × 582,544
  4. Step 4: Simplify right side
    261,668x = 339,357,511,936
  5. Step 5: Solve for x
    x = 339,357,511,936/261,668
  6. Step 6: Final answer
    x = 1,296,901.08

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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.