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Finding the Third Proportional to 297,118 and 447,099

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Solution

The third proportional to 297,118 and 447,099 is: 672,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,118 : 447,099 = 447,099 : x
  2. Step 2: Convert to fraction form
    297,118/447,099 = 447,099/x
  3. Step 3: Cross multiply
    297,118x = 447,099 × 447,099
  4. Step 4: Simplify right side
    297,118x = 199,897,515,801
  5. Step 5: Solve for x
    x = 199,897,515,801/297,118
  6. Step 6: Final answer
    x = 672,788.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.