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Finding the Third Proportional to 297,620.50 and 449,114.25

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Solution

The third proportional to 297,620.50 and 449,114.25 is: 677,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,620.50 : 449,114.25 = 449,114.25 : x
  2. Step 2: Convert to fraction form
    297,620.50/449,114.25 = 449,114.25/x
  3. Step 3: Cross multiply
    297,620.50x = 449,114.25 × 449,114.25
  4. Step 4: Simplify right side
    297,620.50x = 201,703,609,553.06
  5. Step 5: Solve for x
    x = 201,703,609,553.06/297,620.50
  6. Step 6: Final answer
    x = 677,720.82

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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.