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Finding the Third Proportional to 408,176 and 613,821

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Solution

The third proportional to 408,176 and 613,821 is: 923,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,176 : 613,821 = 613,821 : x
  2. Step 2: Convert to fraction form
    408,176/613,821 = 613,821/x
  3. Step 3: Cross multiply
    408,176x = 613,821 × 613,821
  4. Step 4: Simplify right side
    408,176x = 376,776,220,041
  5. Step 5: Solve for x
    x = 376,776,220,041/408,176
  6. Step 6: Final answer
    x = 923,072.94

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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.