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Finding the Third Proportional to 338,874 and 705,838

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Solution

The third proportional to 338,874 and 705,838 is: 1,470,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,874 : 705,838 = 705,838 : x
  2. Step 2: Convert to fraction form
    338,874/705,838 = 705,838/x
  3. Step 3: Cross multiply
    338,874x = 705,838 × 705,838
  4. Step 4: Simplify right side
    338,874x = 498,207,282,244
  5. Step 5: Solve for x
    x = 498,207,282,244/338,874
  6. Step 6: Final answer
    x = 1,470,184.44

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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.