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Finding the Third Proportional to 260,372 and 416,766

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Solution

The third proportional to 260,372 and 416,766 is: 667,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,372 : 416,766 = 416,766 : x
  2. Step 2: Convert to fraction form
    260,372/416,766 = 416,766/x
  3. Step 3: Cross multiply
    260,372x = 416,766 × 416,766
  4. Step 4: Simplify right side
    260,372x = 173,693,898,756
  5. Step 5: Solve for x
    x = 173,693,898,756/260,372
  6. Step 6: Final answer
    x = 667,098.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.