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Finding the Third Proportional to 196,805 and 407,613

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Solution

The third proportional to 196,805 and 407,613 is: 844,228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,805 : 407,613 = 407,613 : x
  2. Step 2: Convert to fraction form
    196,805/407,613 = 407,613/x
  3. Step 3: Cross multiply
    196,805x = 407,613 × 407,613
  4. Step 4: Simplify right side
    196,805x = 166,148,357,769
  5. Step 5: Solve for x
    x = 166,148,357,769/196,805
  6. Step 6: Final answer
    x = 844,228.34

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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.