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Finding the Third Proportional to 297,626 and 449,123

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Solution

The third proportional to 297,626 and 449,123 is: 677,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,626 : 449,123 = 449,123 : x
  2. Step 2: Convert to fraction form
    297,626/449,123 = 449,123/x
  3. Step 3: Cross multiply
    297,626x = 449,123 × 449,123
  4. Step 4: Simplify right side
    297,626x = 201,711,469,129
  5. Step 5: Solve for x
    x = 201,711,469,129/297,626
  6. Step 6: Final answer
    x = 677,734.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.