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Finding the Third Proportional to 338,790 and 736,626

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Solution

The third proportional to 338,790 and 736,626 is: 1,601,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,790 : 736,626 = 736,626 : x
  2. Step 2: Convert to fraction form
    338,790/736,626 = 736,626/x
  3. Step 3: Cross multiply
    338,790x = 736,626 × 736,626
  4. Step 4: Simplify right side
    338,790x = 542,617,863,876
  5. Step 5: Solve for x
    x = 542,617,863,876/338,790
  6. Step 6: Final answer
    x = 1,601,634.83

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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.