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Finding the Third Proportional to 208,104 and 447,790

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Solution

The third proportional to 208,104 and 447,790 is: 963,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,104 : 447,790 = 447,790 : x
  2. Step 2: Convert to fraction form
    208,104/447,790 = 447,790/x
  3. Step 3: Cross multiply
    208,104x = 447,790 × 447,790
  4. Step 4: Simplify right side
    208,104x = 200,515,884,100
  5. Step 5: Solve for x
    x = 200,515,884,100/208,104
  6. Step 6: Final answer
    x = 963,536.91

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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.