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Finding the Third Proportional to 397,504.97 and 869,266.69

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Solution

The third proportional to 397,504.97 and 869,266.69 is: 1,900,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,504.97 : 869,266.69 = 869,266.69 : x
  2. Step 2: Convert to fraction form
    397,504.97/869,266.69 = 869,266.69/x
  3. Step 3: Cross multiply
    397,504.97x = 869,266.69 × 869,266.69
  4. Step 4: Simplify right side
    397,504.97x = 755,624,573,997.22
  5. Step 5: Solve for x
    x = 755,624,573,997.22/397,504.97
  6. Step 6: Final answer
    x = 1,900,918.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.