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Finding the Third Proportional to 259,737.75 and 414,940.50

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Solution

The third proportional to 259,737.75 and 414,940.50 is: 662,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,737.75 : 414,940.50 = 414,940.50 : x
  2. Step 2: Convert to fraction form
    259,737.75/414,940.50 = 414,940.50/x
  3. Step 3: Cross multiply
    259,737.75x = 414,940.50 × 414,940.50
  4. Step 4: Simplify right side
    259,737.75x = 172,175,618,540.25
  5. Step 5: Solve for x
    x = 172,175,618,540.25/259,737.75
  6. Step 6: Final answer
    x = 662,882.54

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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.