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Finding the Third Proportional to 441,832.64 and 962,394.75

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Solution

The third proportional to 441,832.64 and 962,394.75 is: 2,096,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,832.64 : 962,394.75 = 962,394.75 : x
  2. Step 2: Convert to fraction form
    441,832.64/962,394.75 = 962,394.75/x
  3. Step 3: Cross multiply
    441,832.64x = 962,394.75 × 962,394.75
  4. Step 4: Simplify right side
    441,832.64x = 926,203,654,827.56
  5. Step 5: Solve for x
    x = 926,203,654,827.56/441,832.64
  6. Step 6: Final answer
    x = 2,096,277.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.