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Finding the Third Proportional to 297,193.50 and 451,467

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Solution

The third proportional to 297,193.50 and 451,467 is: 685,824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,193.50 : 451,467 = 451,467 : x
  2. Step 2: Convert to fraction form
    297,193.50/451,467 = 451,467/x
  3. Step 3: Cross multiply
    297,193.50x = 451,467 × 451,467
  4. Step 4: Simplify right side
    297,193.50x = 203,822,452,089
  5. Step 5: Solve for x
    x = 203,822,452,089/297,193.50
  6. Step 6: Final answer
    x = 685,824.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.