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Finding the Third Proportional to 202,041 and 439,551

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Solution

The third proportional to 202,041 and 439,551 is: 956,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,041 : 439,551 = 439,551 : x
  2. Step 2: Convert to fraction form
    202,041/439,551 = 439,551/x
  3. Step 3: Cross multiply
    202,041x = 439,551 × 439,551
  4. Step 4: Simplify right side
    202,041x = 193,205,081,601
  5. Step 5: Solve for x
    x = 193,205,081,601/202,041
  6. Step 6: Final answer
    x = 956,266.71

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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.