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Finding the Third Proportional to 196,962 and 417,556

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Solution

The third proportional to 196,962 and 417,556 is: 885,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,962 : 417,556 = 417,556 : x
  2. Step 2: Convert to fraction form
    196,962/417,556 = 417,556/x
  3. Step 3: Cross multiply
    196,962x = 417,556 × 417,556
  4. Step 4: Simplify right side
    196,962x = 174,353,013,136
  5. Step 5: Solve for x
    x = 174,353,013,136/196,962
  6. Step 6: Final answer
    x = 885,211.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.