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Finding the Third Proportional to 190,793 and 414,392

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Solution

The third proportional to 190,793 and 414,392 is: 900,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,793 : 414,392 = 414,392 : x
  2. Step 2: Convert to fraction form
    190,793/414,392 = 414,392/x
  3. Step 3: Cross multiply
    190,793x = 414,392 × 414,392
  4. Step 4: Simplify right side
    190,793x = 171,720,729,664
  5. Step 5: Solve for x
    x = 171,720,729,664/190,793
  6. Step 6: Final answer
    x = 900,036.84

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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.