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Finding the Third Proportional to 447,689.25 and 966,276.56

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Solution

The third proportional to 447,689.25 and 966,276.56 is: 2,085,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,689.25 : 966,276.56 = 966,276.56 : x
  2. Step 2: Convert to fraction form
    447,689.25/966,276.56 = 966,276.56/x
  3. Step 3: Cross multiply
    447,689.25x = 966,276.56 × 966,276.56
  4. Step 4: Simplify right side
    447,689.25x = 933,690,395,236.82
  5. Step 5: Solve for x
    x = 933,690,395,236.82/447,689.25
  6. Step 6: Final answer
    x = 2,085,576.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.