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Finding the Third Proportional to 194,646 and 419,667

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Solution

The third proportional to 194,646 and 419,667 is: 904,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,646 : 419,667 = 419,667 : x
  2. Step 2: Convert to fraction form
    194,646/419,667 = 419,667/x
  3. Step 3: Cross multiply
    194,646x = 419,667 × 419,667
  4. Step 4: Simplify right side
    194,646x = 176,120,390,889
  5. Step 5: Solve for x
    x = 176,120,390,889/194,646
  6. Step 6: Final answer
    x = 904,824.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.