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Finding the Third Proportional to 190,794 and 414,390

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Solution

The third proportional to 190,794 and 414,390 is: 900,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,794 : 414,390 = 414,390 : x
  2. Step 2: Convert to fraction form
    190,794/414,390 = 414,390/x
  3. Step 3: Cross multiply
    190,794x = 414,390 × 414,390
  4. Step 4: Simplify right side
    190,794x = 171,719,072,100
  5. Step 5: Solve for x
    x = 171,719,072,100/190,794
  6. Step 6: Final answer
    x = 900,023.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.