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Finding the Third Proportional to 454,225.50 and 985,722.75

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Solution

The third proportional to 454,225.50 and 985,722.75 is: 2,139,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,225.50 : 985,722.75 = 985,722.75 : x
  2. Step 2: Convert to fraction form
    454,225.50/985,722.75 = 985,722.75/x
  3. Step 3: Cross multiply
    454,225.50x = 985,722.75 × 985,722.75
  4. Step 4: Simplify right side
    454,225.50x = 971,649,339,867.56
  5. Step 5: Solve for x
    x = 971,649,339,867.56/454,225.50
  6. Step 6: Final answer
    x = 2,139,134.28

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