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Finding the Third Proportional to 196,512 and 461,921

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Solution

The third proportional to 196,512 and 461,921 is: 1,085,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,512 : 461,921 = 461,921 : x
  2. Step 2: Convert to fraction form
    196,512/461,921 = 461,921/x
  3. Step 3: Cross multiply
    196,512x = 461,921 × 461,921
  4. Step 4: Simplify right side
    196,512x = 213,371,010,241
  5. Step 5: Solve for x
    x = 213,371,010,241/196,512
  6. Step 6: Final answer
    x = 1,085,791.25

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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.