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Finding the Third Proportional to 338,849 and 705,790

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Solution

The third proportional to 338,849 and 705,790 is: 1,470,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,849 : 705,790 = 705,790 : x
  2. Step 2: Convert to fraction form
    338,849/705,790 = 705,790/x
  3. Step 3: Cross multiply
    338,849x = 705,790 × 705,790
  4. Step 4: Simplify right side
    338,849x = 498,139,524,100
  5. Step 5: Solve for x
    x = 498,139,524,100/338,849
  6. Step 6: Final answer
    x = 1,470,092.94

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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.