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Finding the Third Proportional to 197,956 and 440,072

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Solution

The third proportional to 197,956 and 440,072 is: 978,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,956 : 440,072 = 440,072 : x
  2. Step 2: Convert to fraction form
    197,956/440,072 = 440,072/x
  3. Step 3: Cross multiply
    197,956x = 440,072 × 440,072
  4. Step 4: Simplify right side
    197,956x = 193,663,365,184
  5. Step 5: Solve for x
    x = 193,663,365,184/197,956
  6. Step 6: Final answer
    x = 978,315.21

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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.