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Finding the Third Proportional to 201,522 and 434,512

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Solution

The third proportional to 201,522 and 434,512 is: 936,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,522 : 434,512 = 434,512 : x
  2. Step 2: Convert to fraction form
    201,522/434,512 = 434,512/x
  3. Step 3: Cross multiply
    201,522x = 434,512 × 434,512
  4. Step 4: Simplify right side
    201,522x = 188,800,678,144
  5. Step 5: Solve for x
    x = 188,800,678,144/201,522
  6. Step 6: Final answer
    x = 936,873.78

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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.