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Finding the Third Proportional to 197,884 and 440,060

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Solution

The third proportional to 197,884 and 440,060 is: 978,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,884 : 440,060 = 440,060 : x
  2. Step 2: Convert to fraction form
    197,884/440,060 = 440,060/x
  3. Step 3: Cross multiply
    197,884x = 440,060 × 440,060
  4. Step 4: Simplify right side
    197,884x = 193,652,803,600
  5. Step 5: Solve for x
    x = 193,652,803,600/197,884
  6. Step 6: Final answer
    x = 978,617.79

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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.