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Finding the Third Proportional to 201,568 and 439,424

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Solution

The third proportional to 201,568 and 439,424 is: 957,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,568 : 439,424 = 439,424 : x
  2. Step 2: Convert to fraction form
    201,568/439,424 = 439,424/x
  3. Step 3: Cross multiply
    201,568x = 439,424 × 439,424
  4. Step 4: Simplify right side
    201,568x = 193,093,451,776
  5. Step 5: Solve for x
    x = 193,093,451,776/201,568
  6. Step 6: Final answer
    x = 957,956.88

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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.