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Finding the Third Proportional to 343,881 and 746,838

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Solution

The third proportional to 343,881 and 746,838 is: 1,621,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,881 : 746,838 = 746,838 : x
  2. Step 2: Convert to fraction form
    343,881/746,838 = 746,838/x
  3. Step 3: Cross multiply
    343,881x = 746,838 × 746,838
  4. Step 4: Simplify right side
    343,881x = 557,766,998,244
  5. Step 5: Solve for x
    x = 557,766,998,244/343,881
  6. Step 6: Final answer
    x = 1,621,976.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.