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Finding the Third Proportional to 208,119 and 447,801

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Solution

The third proportional to 208,119 and 447,801 is: 963,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,119 : 447,801 = 447,801 : x
  2. Step 2: Convert to fraction form
    208,119/447,801 = 447,801/x
  3. Step 3: Cross multiply
    208,119x = 447,801 × 447,801
  4. Step 4: Simplify right side
    208,119x = 200,525,735,601
  5. Step 5: Solve for x
    x = 200,525,735,601/208,119
  6. Step 6: Final answer
    x = 963,514.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.