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Finding the Third Proportional to 221,944.50 and 485,412.75

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Solution

The third proportional to 221,944.50 and 485,412.75 is: 1,061,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,944.50 : 485,412.75 = 485,412.75 : x
  2. Step 2: Convert to fraction form
    221,944.50/485,412.75 = 485,412.75/x
  3. Step 3: Cross multiply
    221,944.50x = 485,412.75 × 485,412.75
  4. Step 4: Simplify right side
    221,944.50x = 235,625,537,862.56
  5. Step 5: Solve for x
    x = 235,625,537,862.56/221,944.50
  6. Step 6: Final answer
    x = 1,061,641.71

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Why These Related Problems?

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