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Finding the Third Proportional to 197,871 and 440,040

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Solution

The third proportional to 197,871 and 440,040 is: 978,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,871 : 440,040 = 440,040 : x
  2. Step 2: Convert to fraction form
    197,871/440,040 = 440,040/x
  3. Step 3: Cross multiply
    197,871x = 440,040 × 440,040
  4. Step 4: Simplify right side
    197,871x = 193,635,201,600
  5. Step 5: Solve for x
    x = 193,635,201,600/197,871
  6. Step 6: Final answer
    x = 978,593.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.