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Finding the Third Proportional to 206,065 and 439,347

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Solution

The third proportional to 206,065 and 439,347 is: 936,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,065 : 439,347 = 439,347 : x
  2. Step 2: Convert to fraction form
    206,065/439,347 = 439,347/x
  3. Step 3: Cross multiply
    206,065x = 439,347 × 439,347
  4. Step 4: Simplify right side
    206,065x = 193,025,786,409
  5. Step 5: Solve for x
    x = 193,025,786,409/206,065
  6. Step 6: Final answer
    x = 936,722.81

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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.