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Finding the Third Proportional to 206,241.19 and 447,474.38

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Solution

The third proportional to 206,241.19 and 447,474.38 is: 970,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,241.19 : 447,474.38 = 447,474.38 : x
  2. Step 2: Convert to fraction form
    206,241.19/447,474.38 = 447,474.38/x
  3. Step 3: Cross multiply
    206,241.19x = 447,474.38 × 447,474.38
  4. Step 4: Simplify right side
    206,241.19x = 200,233,316,281.64
  5. Step 5: Solve for x
    x = 200,233,316,281.64/206,241.19
  6. Step 6: Final answer
    x = 970,869.68

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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.