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Finding the Third Proportional to 196,001 and 429,366

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Solution

The third proportional to 196,001 and 429,366 is: 940,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,001 : 429,366 = 429,366 : x
  2. Step 2: Convert to fraction form
    196,001/429,366 = 429,366/x
  3. Step 3: Cross multiply
    196,001x = 429,366 × 429,366
  4. Step 4: Simplify right side
    196,001x = 184,355,161,956
  5. Step 5: Solve for x
    x = 184,355,161,956/196,001
  6. Step 6: Final answer
    x = 940,582.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.