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Finding the Third Proportional to 258,444 and 548,199

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Solution

The third proportional to 258,444 and 548,199 is: 1,162,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,444 : 548,199 = 548,199 : x
  2. Step 2: Convert to fraction form
    258,444/548,199 = 548,199/x
  3. Step 3: Cross multiply
    258,444x = 548,199 × 548,199
  4. Step 4: Simplify right side
    258,444x = 300,522,143,601
  5. Step 5: Solve for x
    x = 300,522,143,601/258,444
  6. Step 6: Final answer
    x = 1,162,813.39

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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.