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Finding the Third Proportional to 443,668.50 and 665,286.75

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Solution

The third proportional to 443,668.50 and 665,286.75 is: 997,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,668.50 : 665,286.75 = 665,286.75 : x
  2. Step 2: Convert to fraction form
    443,668.50/665,286.75 = 665,286.75/x
  3. Step 3: Cross multiply
    443,668.50x = 665,286.75 × 665,286.75
  4. Step 4: Simplify right side
    443,668.50x = 442,606,459,725.56
  5. Step 5: Solve for x
    x = 442,606,459,725.56/443,668.50
  6. Step 6: Final answer
    x = 997,606.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.