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Finding the Third Proportional to 196,934 and 429,512

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Solution

The third proportional to 196,934 and 429,512 is: 936,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,934 : 429,512 = 429,512 : x
  2. Step 2: Convert to fraction form
    196,934/429,512 = 429,512/x
  3. Step 3: Cross multiply
    196,934x = 429,512 × 429,512
  4. Step 4: Simplify right side
    196,934x = 184,480,558,144
  5. Step 5: Solve for x
    x = 184,480,558,144/196,934
  6. Step 6: Final answer
    x = 936,763.37

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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.