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Finding the Third Proportional to 653,229.56 and 994,145.27

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Solution

The third proportional to 653,229.56 and 994,145.27 is: 1,512,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,229.56 : 994,145.27 = 994,145.27 : x
  2. Step 2: Convert to fraction form
    653,229.56/994,145.27 = 994,145.27/x
  3. Step 3: Cross multiply
    653,229.56x = 994,145.27 × 994,145.27
  4. Step 4: Simplify right side
    653,229.56x = 988,324,824,698.12
  5. Step 5: Solve for x
    x = 988,324,824,698.12/653,229.56
  6. Step 6: Final answer
    x = 1,512,982.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.