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Finding the Third Proportional to 258,546 and 548,394

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Solution

The third proportional to 258,546 and 548,394 is: 1,163,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,546 : 548,394 = 548,394 : x
  2. Step 2: Convert to fraction form
    258,546/548,394 = 548,394/x
  3. Step 3: Cross multiply
    258,546x = 548,394 × 548,394
  4. Step 4: Simplify right side
    258,546x = 300,735,979,236
  5. Step 5: Solve for x
    x = 300,735,979,236/258,546
  6. Step 6: Final answer
    x = 1,163,181.71

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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.