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Finding the Third Proportional to 196,530 and 461,981

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Solution

The third proportional to 196,530 and 461,981 is: 1,085,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,530 : 461,981 = 461,981 : x
  2. Step 2: Convert to fraction form
    196,530/461,981 = 461,981/x
  3. Step 3: Cross multiply
    196,530x = 461,981 × 461,981
  4. Step 4: Simplify right side
    196,530x = 213,426,444,361
  5. Step 5: Solve for x
    x = 213,426,444,361/196,530
  6. Step 6: Final answer
    x = 1,085,973.87

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.