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Finding the Third Proportional to 196,797 and 407,598

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Solution

The third proportional to 196,797 and 407,598 is: 844,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,797 : 407,598 = 407,598 : x
  2. Step 2: Convert to fraction form
    196,797/407,598 = 407,598/x
  3. Step 3: Cross multiply
    196,797x = 407,598 × 407,598
  4. Step 4: Simplify right side
    196,797x = 166,136,129,604
  5. Step 5: Solve for x
    x = 166,136,129,604/196,797
  6. Step 6: Final answer
    x = 844,200.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.