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Finding the Third Proportional to 261,379 and 567,014

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Solution

The third proportional to 261,379 and 567,014 is: 1,230,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,379 : 567,014 = 567,014 : x
  2. Step 2: Convert to fraction form
    261,379/567,014 = 567,014/x
  3. Step 3: Cross multiply
    261,379x = 567,014 × 567,014
  4. Step 4: Simplify right side
    261,379x = 321,504,876,196
  5. Step 5: Solve for x
    x = 321,504,876,196/261,379
  6. Step 6: Final answer
    x = 1,230,033.31

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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.