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Finding the Third Proportional to 416,277 and 624,474

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Solution

The third proportional to 416,277 and 624,474 is: 936,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,277 : 624,474 = 624,474 : x
  2. Step 2: Convert to fraction form
    416,277/624,474 = 624,474/x
  3. Step 3: Cross multiply
    416,277x = 624,474 × 624,474
  4. Step 4: Simplify right side
    416,277x = 389,967,776,676
  5. Step 5: Solve for x
    x = 389,967,776,676/416,277
  6. Step 6: Final answer
    x = 936,798.76

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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.