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Finding the Third Proportional to 258,794 and 548,692

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Solution

The third proportional to 258,794 and 548,692 is: 1,163,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,794 : 548,692 = 548,692 : x
  2. Step 2: Convert to fraction form
    258,794/548,692 = 548,692/x
  3. Step 3: Cross multiply
    258,794x = 548,692 × 548,692
  4. Step 4: Simplify right side
    258,794x = 301,062,910,864
  5. Step 5: Solve for x
    x = 301,062,910,864/258,794
  6. Step 6: Final answer
    x = 1,163,330.34

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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.