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Finding the Third Proportional to 299,660.25 and 654,542.25

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Solution

The third proportional to 299,660.25 and 654,542.25 is: 1,429,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,660.25 : 654,542.25 = 654,542.25 : x
  2. Step 2: Convert to fraction form
    299,660.25/654,542.25 = 654,542.25/x
  3. Step 3: Cross multiply
    299,660.25x = 654,542.25 × 654,542.25
  4. Step 4: Simplify right side
    299,660.25x = 428,425,557,035.06
  5. Step 5: Solve for x
    x = 428,425,557,035.06/299,660.25
  6. Step 6: Final answer
    x = 1,429,704.33

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Why These Related Problems?

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