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Finding the Third Proportional to 202,219 and 437,601

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Solution

The third proportional to 202,219 and 437,601 is: 946,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,219 : 437,601 = 437,601 : x
  2. Step 2: Convert to fraction form
    202,219/437,601 = 437,601/x
  3. Step 3: Cross multiply
    202,219x = 437,601 × 437,601
  4. Step 4: Simplify right side
    202,219x = 191,494,635,201
  5. Step 5: Solve for x
    x = 191,494,635,201/202,219
  6. Step 6: Final answer
    x = 946,966.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.