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Finding the Third Proportional to 263,308.50 and 396,816.75

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Solution

The third proportional to 263,308.50 and 396,816.75 is: 598,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,308.50 : 396,816.75 = 396,816.75 : x
  2. Step 2: Convert to fraction form
    263,308.50/396,816.75 = 396,816.75/x
  3. Step 3: Cross multiply
    263,308.50x = 396,816.75 × 396,816.75
  4. Step 4: Simplify right side
    263,308.50x = 157,463,533,080.56
  5. Step 5: Solve for x
    x = 157,463,533,080.56/263,308.50
  6. Step 6: Final answer
    x = 598,019.18

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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.