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Finding the Third Proportional to 263,323.50 and 397,311.75

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Solution

The third proportional to 263,323.50 and 397,311.75 is: 599,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,323.50 : 397,311.75 = 397,311.75 : x
  2. Step 2: Convert to fraction form
    263,323.50/397,311.75 = 397,311.75/x
  3. Step 3: Cross multiply
    263,323.50x = 397,311.75 × 397,311.75
  4. Step 4: Simplify right side
    263,323.50x = 157,856,626,688.06
  5. Step 5: Solve for x
    x = 157,856,626,688.06/263,323.50
  6. Step 6: Final answer
    x = 599,477.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.