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Finding the Third Proportional to 297,609.75 and 447,093

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Solution

The third proportional to 297,609.75 and 447,093 is: 671,658.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,609.75 : 447,093 = 447,093 : x
  2. Step 2: Convert to fraction form
    297,609.75/447,093 = 447,093/x
  3. Step 3: Cross multiply
    297,609.75x = 447,093 × 447,093
  4. Step 4: Simplify right side
    297,609.75x = 199,892,150,649
  5. Step 5: Solve for x
    x = 199,892,150,649/297,609.75
  6. Step 6: Final answer
    x = 671,658.61

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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.