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Finding the Third Proportional to 196,011 and 429,381

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Solution

The third proportional to 196,011 and 429,381 is: 940,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,011 : 429,381 = 429,381 : x
  2. Step 2: Convert to fraction form
    196,011/429,381 = 429,381/x
  3. Step 3: Cross multiply
    196,011x = 429,381 × 429,381
  4. Step 4: Simplify right side
    196,011x = 184,368,043,161
  5. Step 5: Solve for x
    x = 184,368,043,161/196,011
  6. Step 6: Final answer
    x = 940,600.49

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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.