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Finding the Third Proportional to 397,273.50 and 567,517.50

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Solution

The third proportional to 397,273.50 and 567,517.50 is: 810,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,273.50 : 567,517.50 = 567,517.50 : x
  2. Step 2: Convert to fraction form
    397,273.50/567,517.50 = 567,517.50/x
  3. Step 3: Cross multiply
    397,273.50x = 567,517.50 × 567,517.50
  4. Step 4: Simplify right side
    397,273.50x = 322,076,112,806.25
  5. Step 5: Solve for x
    x = 322,076,112,806.25/397,273.50
  6. Step 6: Final answer
    x = 810,716.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.