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Finding the Third Proportional to 338,876 and 705,844

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Solution

The third proportional to 338,876 and 705,844 is: 1,470,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,876 : 705,844 = 705,844 : x
  2. Step 2: Convert to fraction form
    338,876/705,844 = 705,844/x
  3. Step 3: Cross multiply
    338,876x = 705,844 × 705,844
  4. Step 4: Simplify right side
    338,876x = 498,215,752,336
  5. Step 5: Solve for x
    x = 498,215,752,336/338,876
  6. Step 6: Final answer
    x = 1,470,200.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.