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Finding the Third Proportional to 258,443 and 548,197

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Solution

The third proportional to 258,443 and 548,197 is: 1,162,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,443 : 548,197 = 548,197 : x
  2. Step 2: Convert to fraction form
    258,443/548,197 = 548,197/x
  3. Step 3: Cross multiply
    258,443x = 548,197 × 548,197
  4. Step 4: Simplify right side
    258,443x = 300,519,950,809
  5. Step 5: Solve for x
    x = 300,519,950,809/258,443
  6. Step 6: Final answer
    x = 1,162,809.40

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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.