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Finding the Third Proportional to 203,965.13 and 441,828.75

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Solution

The third proportional to 203,965.13 and 441,828.75 is: 957,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,965.13 : 441,828.75 = 441,828.75 : x
  2. Step 2: Convert to fraction form
    203,965.13/441,828.75 = 441,828.75/x
  3. Step 3: Cross multiply
    203,965.13x = 441,828.75 × 441,828.75
  4. Step 4: Simplify right side
    203,965.13x = 195,212,644,326.56
  5. Step 5: Solve for x
    x = 195,212,644,326.56/203,965.13
  6. Step 6: Final answer
    x = 957,088.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.