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Finding the Third Proportional to 201,554 and 439,950

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Solution

The third proportional to 201,554 and 439,950 is: 960,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,554 : 439,950 = 439,950 : x
  2. Step 2: Convert to fraction form
    201,554/439,950 = 439,950/x
  3. Step 3: Cross multiply
    201,554x = 439,950 × 439,950
  4. Step 4: Simplify right side
    201,554x = 193,556,002,500
  5. Step 5: Solve for x
    x = 193,556,002,500/201,554
  6. Step 6: Final answer
    x = 960,318.34

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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.