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Finding the Third Proportional to 206,069 and 439,355

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Solution

The third proportional to 206,069 and 439,355 is: 936,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,069 : 439,355 = 439,355 : x
  2. Step 2: Convert to fraction form
    206,069/439,355 = 439,355/x
  3. Step 3: Cross multiply
    206,069x = 439,355 × 439,355
  4. Step 4: Simplify right side
    206,069x = 193,032,816,025
  5. Step 5: Solve for x
    x = 193,032,816,025/206,069
  6. Step 6: Final answer
    x = 936,738.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.