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Finding the Third Proportional to 202,591.13 and 434,716.88

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Solution

The third proportional to 202,591.13 and 434,716.88 is: 932,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,591.13 : 434,716.88 = 434,716.88 : x
  2. Step 2: Convert to fraction form
    202,591.13/434,716.88 = 434,716.88/x
  3. Step 3: Cross multiply
    202,591.13x = 434,716.88 × 434,716.88
  4. Step 4: Simplify right side
    202,591.13x = 188,978,761,409.77
  5. Step 5: Solve for x
    x = 188,978,761,409.77/202,591.13
  6. Step 6: Final answer
    x = 932,808.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.