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Finding the Third Proportional to 208,201 and 447,975

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Solution

The third proportional to 208,201 and 447,975 is: 963,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,201 : 447,975 = 447,975 : x
  2. Step 2: Convert to fraction form
    208,201/447,975 = 447,975/x
  3. Step 3: Cross multiply
    208,201x = 447,975 × 447,975
  4. Step 4: Simplify right side
    208,201x = 200,681,600,625
  5. Step 5: Solve for x
    x = 200,681,600,625/208,201
  6. Step 6: Final answer
    x = 963,883.94

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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.