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Finding the Third Proportional to 264,118 and 395,220

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Solution

The third proportional to 264,118 and 395,220 is: 591,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,118 : 395,220 = 395,220 : x
  2. Step 2: Convert to fraction form
    264,118/395,220 = 395,220/x
  3. Step 3: Cross multiply
    264,118x = 395,220 × 395,220
  4. Step 4: Simplify right side
    264,118x = 156,198,848,400
  5. Step 5: Solve for x
    x = 156,198,848,400/264,118
  6. Step 6: Final answer
    x = 591,397.97

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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.