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Finding the Third Proportional to 258,446 and 548,203

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Solution

The third proportional to 258,446 and 548,203 is: 1,162,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,446 : 548,203 = 548,203 : x
  2. Step 2: Convert to fraction form
    258,446/548,203 = 548,203/x
  3. Step 3: Cross multiply
    258,446x = 548,203 × 548,203
  4. Step 4: Simplify right side
    258,446x = 300,526,529,209
  5. Step 5: Solve for x
    x = 300,526,529,209/258,446
  6. Step 6: Final answer
    x = 1,162,821.36

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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.