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Finding the Third Proportional to 196,961 and 429,559

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Solution

The third proportional to 196,961 and 429,559 is: 936,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,961 : 429,559 = 429,559 : x
  2. Step 2: Convert to fraction form
    196,961/429,559 = 429,559/x
  3. Step 3: Cross multiply
    196,961x = 429,559 × 429,559
  4. Step 4: Simplify right side
    196,961x = 184,520,934,481
  5. Step 5: Solve for x
    x = 184,520,934,481/196,961
  6. Step 6: Final answer
    x = 936,839.96

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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.