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Finding the Third Proportional to 303,517.13 and 471,571.88

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Solution

The third proportional to 303,517.13 and 471,571.88 is: 732,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,517.13 : 471,571.88 = 471,571.88 : x
  2. Step 2: Convert to fraction form
    303,517.13/471,571.88 = 471,571.88/x
  3. Step 3: Cross multiply
    303,517.13x = 471,571.88 × 471,571.88
  4. Step 4: Simplify right side
    303,517.13x = 222,380,033,291.02
  5. Step 5: Solve for x
    x = 222,380,033,291.02/303,517.13
  6. Step 6: Final answer
    x = 732,677.06

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