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Finding the Third Proportional to 299,200.50 and 449,025

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Solution

The third proportional to 299,200.50 and 449,025 is: 673,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,200.50 : 449,025 = 449,025 : x
  2. Step 2: Convert to fraction form
    299,200.50/449,025 = 449,025/x
  3. Step 3: Cross multiply
    299,200.50x = 449,025 × 449,025
  4. Step 4: Simplify right side
    299,200.50x = 201,623,450,625
  5. Step 5: Solve for x
    x = 201,623,450,625/299,200.50
  6. Step 6: Final answer
    x = 673,874.04

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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.