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Finding the Third Proportional to 201,041 and 442,062

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Solution

The third proportional to 201,041 and 442,062 is: 972,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,041 : 442,062 = 442,062 : x
  2. Step 2: Convert to fraction form
    201,041/442,062 = 442,062/x
  3. Step 3: Cross multiply
    201,041x = 442,062 × 442,062
  4. Step 4: Simplify right side
    201,041x = 195,418,811,844
  5. Step 5: Solve for x
    x = 195,418,811,844/201,041
  6. Step 6: Final answer
    x = 972,034.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.