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Finding the Third Proportional to 454,216.50 and 985,704.75

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Solution

The third proportional to 454,216.50 and 985,704.75 is: 2,139,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,216.50 : 985,704.75 = 985,704.75 : x
  2. Step 2: Convert to fraction form
    454,216.50/985,704.75 = 985,704.75/x
  3. Step 3: Cross multiply
    454,216.50x = 985,704.75 × 985,704.75
  4. Step 4: Simplify right side
    454,216.50x = 971,613,854,172.56
  5. Step 5: Solve for x
    x = 971,613,854,172.56/454,216.50
  6. Step 6: Final answer
    x = 2,139,098.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.