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Finding the Third Proportional to 201,542 and 439,923

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Solution

The third proportional to 201,542 and 439,923 is: 960,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,542 : 439,923 = 439,923 : x
  2. Step 2: Convert to fraction form
    201,542/439,923 = 439,923/x
  3. Step 3: Cross multiply
    201,542x = 439,923 × 439,923
  4. Step 4: Simplify right side
    201,542x = 193,532,245,929
  5. Step 5: Solve for x
    x = 193,532,245,929/201,542
  6. Step 6: Final answer
    x = 960,257.64

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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.