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Finding the Third Proportional to 209,194 and 454,652

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Solution

The third proportional to 209,194 and 454,652 is: 988,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,194 : 454,652 = 454,652 : x
  2. Step 2: Convert to fraction form
    209,194/454,652 = 454,652/x
  3. Step 3: Cross multiply
    209,194x = 454,652 × 454,652
  4. Step 4: Simplify right side
    209,194x = 206,708,441,104
  5. Step 5: Solve for x
    x = 206,708,441,104/209,194
  6. Step 6: Final answer
    x = 988,118.40

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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.