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Finding the Third Proportional to 327,494 and 520,768

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Solution

The third proportional to 327,494 and 520,768 is: 828,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,494 : 520,768 = 520,768 : x
  2. Step 2: Convert to fraction form
    327,494/520,768 = 520,768/x
  3. Step 3: Cross multiply
    327,494x = 520,768 × 520,768
  4. Step 4: Simplify right side
    327,494x = 271,199,309,824
  5. Step 5: Solve for x
    x = 271,199,309,824/327,494
  6. Step 6: Final answer
    x = 828,104.67

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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.