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Finding the Third Proportional to 200,520 and 417,625

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Solution

The third proportional to 200,520 and 417,625 is: 869,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,520 : 417,625 = 417,625 : x
  2. Step 2: Convert to fraction form
    200,520/417,625 = 417,625/x
  3. Step 3: Cross multiply
    200,520x = 417,625 × 417,625
  4. Step 4: Simplify right side
    200,520x = 174,410,640,625
  5. Step 5: Solve for x
    x = 174,410,640,625/200,520
  6. Step 6: Final answer
    x = 869,791.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.