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Finding the Third Proportional to 190,492 and 416,401

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Solution

The third proportional to 190,492 and 416,401 is: 910,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,492 : 416,401 = 416,401 : x
  2. Step 2: Convert to fraction form
    190,492/416,401 = 416,401/x
  3. Step 3: Cross multiply
    190,492x = 416,401 × 416,401
  4. Step 4: Simplify right side
    190,492x = 173,389,792,801
  5. Step 5: Solve for x
    x = 173,389,792,801/190,492
  6. Step 6: Final answer
    x = 910,220.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.