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Finding the Third Proportional to 208,097 and 447,757

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Solution

The third proportional to 208,097 and 447,757 is: 963,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,097 : 447,757 = 447,757 : x
  2. Step 2: Convert to fraction form
    208,097/447,757 = 447,757/x
  3. Step 3: Cross multiply
    208,097x = 447,757 × 447,757
  4. Step 4: Simplify right side
    208,097x = 200,486,331,049
  5. Step 5: Solve for x
    x = 200,486,331,049/208,097
  6. Step 6: Final answer
    x = 963,427.30

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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.