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Finding the Third Proportional to 196,962 and 429,561

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Solution

The third proportional to 196,962 and 429,561 is: 936,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,962 : 429,561 = 429,561 : x
  2. Step 2: Convert to fraction form
    196,962/429,561 = 429,561/x
  3. Step 3: Cross multiply
    196,962x = 429,561 × 429,561
  4. Step 4: Simplify right side
    196,962x = 184,522,652,721
  5. Step 5: Solve for x
    x = 184,522,652,721/196,962
  6. Step 6: Final answer
    x = 936,843.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.