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Finding the Third Proportional to 323,232.75 and 511,571.25

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Solution

The third proportional to 323,232.75 and 511,571.25 is: 809,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,232.75 : 511,571.25 = 511,571.25 : x
  2. Step 2: Convert to fraction form
    323,232.75/511,571.25 = 511,571.25/x
  3. Step 3: Cross multiply
    323,232.75x = 511,571.25 × 511,571.25
  4. Step 4: Simplify right side
    323,232.75x = 261,705,143,826.56
  5. Step 5: Solve for x
    x = 261,705,143,826.56/323,232.75
  6. Step 6: Final answer
    x = 809,649.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.