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Finding the Third Proportional to 222,906 and 434,652

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Solution

The third proportional to 222,906 and 434,652 is: 847,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,906 : 434,652 = 434,652 : x
  2. Step 2: Convert to fraction form
    222,906/434,652 = 434,652/x
  3. Step 3: Cross multiply
    222,906x = 434,652 × 434,652
  4. Step 4: Simplify right side
    222,906x = 188,922,361,104
  5. Step 5: Solve for x
    x = 188,922,361,104/222,906
  6. Step 6: Final answer
    x = 847,542.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.