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Finding the Third Proportional to 196,353 and 407,277

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Solution

The third proportional to 196,353 and 407,277 is: 844,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,353 : 407,277 = 407,277 : x
  2. Step 2: Convert to fraction form
    196,353/407,277 = 407,277/x
  3. Step 3: Cross multiply
    196,353x = 407,277 × 407,277
  4. Step 4: Simplify right side
    196,353x = 165,874,554,729
  5. Step 5: Solve for x
    x = 165,874,554,729/196,353
  6. Step 6: Final answer
    x = 844,777.29

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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.