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Finding the Third Proportional to 190,892 and 414,592

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Solution

The third proportional to 190,892 and 414,592 is: 900,438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,892 : 414,592 = 414,592 : x
  2. Step 2: Convert to fraction form
    190,892/414,592 = 414,592/x
  3. Step 3: Cross multiply
    190,892x = 414,592 × 414,592
  4. Step 4: Simplify right side
    190,892x = 171,886,526,464
  5. Step 5: Solve for x
    x = 171,886,526,464/190,892
  6. Step 6: Final answer
    x = 900,438.61

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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.