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Finding the Third Proportional to 206,120 and 477,204

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Solution

The third proportional to 206,120 and 477,204 is: 1,104,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,120 : 477,204 = 477,204 : x
  2. Step 2: Convert to fraction form
    206,120/477,204 = 477,204/x
  3. Step 3: Cross multiply
    206,120x = 477,204 × 477,204
  4. Step 4: Simplify right side
    206,120x = 227,723,657,616
  5. Step 5: Solve for x
    x = 227,723,657,616/206,120
  6. Step 6: Final answer
    x = 1,104,811.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.