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Finding the Third Proportional to 203,071 and 440,041

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Solution

The third proportional to 203,071 and 440,041 is: 953,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,071 : 440,041 = 440,041 : x
  2. Step 2: Convert to fraction form
    203,071/440,041 = 440,041/x
  3. Step 3: Cross multiply
    203,071x = 440,041 × 440,041
  4. Step 4: Simplify right side
    203,071x = 193,636,081,681
  5. Step 5: Solve for x
    x = 193,636,081,681/203,071
  6. Step 6: Final answer
    x = 953,538.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.