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Finding the Third Proportional to 203,071 and 440,040

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Solution

The third proportional to 203,071 and 440,040 is: 953,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,071 : 440,040 = 440,040 : x
  2. Step 2: Convert to fraction form
    203,071/440,040 = 440,040/x
  3. Step 3: Cross multiply
    203,071x = 440,040 × 440,040
  4. Step 4: Simplify right side
    203,071x = 193,635,201,600
  5. Step 5: Solve for x
    x = 193,635,201,600/203,071
  6. Step 6: Final answer
    x = 953,534.49

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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.