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Finding the Third Proportional to 201,740 and 434,601

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Solution

The third proportional to 201,740 and 434,601 is: 936,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,740 : 434,601 = 434,601 : x
  2. Step 2: Convert to fraction form
    201,740/434,601 = 434,601/x
  3. Step 3: Cross multiply
    201,740x = 434,601 × 434,601
  4. Step 4: Simplify right side
    201,740x = 188,878,029,201
  5. Step 5: Solve for x
    x = 188,878,029,201/201,740
  6. Step 6: Final answer
    x = 936,244.82

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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.