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Finding the Third Proportional to 190,480 and 414,824

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Solution

The third proportional to 190,480 and 414,824 is: 903,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,480 : 414,824 = 414,824 : x
  2. Step 2: Convert to fraction form
    190,480/414,824 = 414,824/x
  3. Step 3: Cross multiply
    190,480x = 414,824 × 414,824
  4. Step 4: Simplify right side
    190,480x = 172,078,950,976
  5. Step 5: Solve for x
    x = 172,078,950,976/190,480
  6. Step 6: Final answer
    x = 903,396.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.