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Finding the Third Proportional to 260,096 and 558,990

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Solution

The third proportional to 260,096 and 558,990 is: 1,201,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,096 : 558,990 = 558,990 : x
  2. Step 2: Convert to fraction form
    260,096/558,990 = 558,990/x
  3. Step 3: Cross multiply
    260,096x = 558,990 × 558,990
  4. Step 4: Simplify right side
    260,096x = 312,469,820,100
  5. Step 5: Solve for x
    x = 312,469,820,100/260,096
  6. Step 6: Final answer
    x = 1,201,363.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.