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Finding the Third Proportional to 260,736 and 371,916

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Solution

The third proportional to 260,736 and 371,916 is: 530,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,736 : 371,916 = 371,916 : x
  2. Step 2: Convert to fraction form
    260,736/371,916 = 371,916/x
  3. Step 3: Cross multiply
    260,736x = 371,916 × 371,916
  4. Step 4: Simplify right side
    260,736x = 138,321,511,056
  5. Step 5: Solve for x
    x = 138,321,511,056/260,736
  6. Step 6: Final answer
    x = 530,504.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.