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Finding the Third Proportional to 258,498 and 548,244

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Solution

The third proportional to 258,498 and 548,244 is: 1,162,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,498 : 548,244 = 548,244 : x
  2. Step 2: Convert to fraction form
    258,498/548,244 = 548,244/x
  3. Step 3: Cross multiply
    258,498x = 548,244 × 548,244
  4. Step 4: Simplify right side
    258,498x = 300,571,483,536
  5. Step 5: Solve for x
    x = 300,571,483,536/258,498
  6. Step 6: Final answer
    x = 1,162,761.35

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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.