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Finding the Third Proportional to 320,874.75 and 493,251.19

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Solution

The third proportional to 320,874.75 and 493,251.19 is: 758,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,874.75 : 493,251.19 = 493,251.19 : x
  2. Step 2: Convert to fraction form
    320,874.75/493,251.19 = 493,251.19/x
  3. Step 3: Cross multiply
    320,874.75x = 493,251.19 × 493,251.19
  4. Step 4: Simplify right side
    320,874.75x = 243,296,733,970.16
  5. Step 5: Solve for x
    x = 243,296,733,970.16/320,874.75
  6. Step 6: Final answer
    x = 758,229.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.