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Finding the Third Proportional to 258,796 and 548,696

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Solution

The third proportional to 258,796 and 548,696 is: 1,163,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,796 : 548,696 = 548,696 : x
  2. Step 2: Convert to fraction form
    258,796/548,696 = 548,696/x
  3. Step 3: Cross multiply
    258,796x = 548,696 × 548,696
  4. Step 4: Simplify right side
    258,796x = 301,067,300,416
  5. Step 5: Solve for x
    x = 301,067,300,416/258,796
  6. Step 6: Final answer
    x = 1,163,338.31

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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.