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Finding the Third Proportional to 258,369.75 and 548,010.56

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Solution

The third proportional to 258,369.75 and 548,010.56 is: 1,162,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,369.75 : 548,010.56 = 548,010.56 : x
  2. Step 2: Convert to fraction form
    258,369.75/548,010.56 = 548,010.56/x
  3. Step 3: Cross multiply
    258,369.75x = 548,010.56 × 548,010.56
  4. Step 4: Simplify right side
    258,369.75x = 300,315,576,611.57
  5. Step 5: Solve for x
    x = 300,315,576,611.57/258,369.75
  6. Step 6: Final answer
    x = 1,162,348.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.