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Finding the Third Proportional to 259,968 and 567,520

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Solution

The third proportional to 259,968 and 567,520 is: 1,238,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,968 : 567,520 = 567,520 : x
  2. Step 2: Convert to fraction form
    259,968/567,520 = 567,520/x
  3. Step 3: Cross multiply
    259,968x = 567,520 × 567,520
  4. Step 4: Simplify right side
    259,968x = 322,078,950,400
  5. Step 5: Solve for x
    x = 322,078,950,400/259,968
  6. Step 6: Final answer
    x = 1,238,917.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.