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Finding the Third Proportional to 327,486.50 and 520,755

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Solution

The third proportional to 327,486.50 and 520,755 is: 828,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,486.50 : 520,755 = 520,755 : x
  2. Step 2: Convert to fraction form
    327,486.50/520,755 = 520,755/x
  3. Step 3: Cross multiply
    327,486.50x = 520,755 × 520,755
  4. Step 4: Simplify right side
    327,486.50x = 271,185,770,025
  5. Step 5: Solve for x
    x = 271,185,770,025/327,486.50
  6. Step 6: Final answer
    x = 828,082.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.