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Finding the Third Proportional to 197,882 and 440,056

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Solution

The third proportional to 197,882 and 440,056 is: 978,609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,882 : 440,056 = 440,056 : x
  2. Step 2: Convert to fraction form
    197,882/440,056 = 440,056/x
  3. Step 3: Cross multiply
    197,882x = 440,056 × 440,056
  4. Step 4: Simplify right side
    197,882x = 193,649,283,136
  5. Step 5: Solve for x
    x = 193,649,283,136/197,882
  6. Step 6: Final answer
    x = 978,609.89

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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.