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Finding the Third Proportional to 263,608.50 and 408,521.25

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Solution

The third proportional to 263,608.50 and 408,521.25 is: 633,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,608.50 : 408,521.25 = 408,521.25 : x
  2. Step 2: Convert to fraction form
    263,608.50/408,521.25 = 408,521.25/x
  3. Step 3: Cross multiply
    263,608.50x = 408,521.25 × 408,521.25
  4. Step 4: Simplify right side
    263,608.50x = 166,889,611,701.56
  5. Step 5: Solve for x
    x = 166,889,611,701.56/263,608.50
  6. Step 6: Final answer
    x = 633,096.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.