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Finding the Third Proportional to 221,398.50 and 458,550.75

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Solution

The third proportional to 221,398.50 and 458,550.75 is: 949,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,398.50 : 458,550.75 = 458,550.75 : x
  2. Step 2: Convert to fraction form
    221,398.50/458,550.75 = 458,550.75/x
  3. Step 3: Cross multiply
    221,398.50x = 458,550.75 × 458,550.75
  4. Step 4: Simplify right side
    221,398.50x = 210,268,790,325.56
  5. Step 5: Solve for x
    x = 210,268,790,325.56/221,398.50
  6. Step 6: Final answer
    x = 949,729.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.