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Finding the Third Proportional to 200,601 and 437,179

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Solution

The third proportional to 200,601 and 437,179 is: 952,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,601 : 437,179 = 437,179 : x
  2. Step 2: Convert to fraction form
    200,601/437,179 = 437,179/x
  3. Step 3: Cross multiply
    200,601x = 437,179 × 437,179
  4. Step 4: Simplify right side
    200,601x = 191,125,478,041
  5. Step 5: Solve for x
    x = 191,125,478,041/200,601
  6. Step 6: Final answer
    x = 952,764.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.