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Finding the Third Proportional to 258,362 and 567,652

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Solution

The third proportional to 258,362 and 567,652 is: 1,247,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,362 : 567,652 = 567,652 : x
  2. Step 2: Convert to fraction form
    258,362/567,652 = 567,652/x
  3. Step 3: Cross multiply
    258,362x = 567,652 × 567,652
  4. Step 4: Simplify right side
    258,362x = 322,228,793,104
  5. Step 5: Solve for x
    x = 322,228,793,104/258,362
  6. Step 6: Final answer
    x = 1,247,198.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.