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Finding the Third Proportional to 416,066 and 624,108

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Solution

The third proportional to 416,066 and 624,108 is: 936,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,066 : 624,108 = 624,108 : x
  2. Step 2: Convert to fraction form
    416,066/624,108 = 624,108/x
  3. Step 3: Cross multiply
    416,066x = 624,108 × 624,108
  4. Step 4: Simplify right side
    416,066x = 389,510,795,664
  5. Step 5: Solve for x
    x = 389,510,795,664/416,066
  6. Step 6: Final answer
    x = 936,175.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.