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Finding the Third Proportional to 361,849 and 790,766

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Solution

The third proportional to 361,849 and 790,766 is: 1,728,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,849 : 790,766 = 790,766 : x
  2. Step 2: Convert to fraction form
    361,849/790,766 = 790,766/x
  3. Step 3: Cross multiply
    361,849x = 790,766 × 790,766
  4. Step 4: Simplify right side
    361,849x = 625,310,866,756
  5. Step 5: Solve for x
    x = 625,310,866,756/361,849
  6. Step 6: Final answer
    x = 1,728,098.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.