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Finding the Third Proportional to 327,478.50 and 520,740

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Solution

The third proportional to 327,478.50 and 520,740 is: 828,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,478.50 : 520,740 = 520,740 : x
  2. Step 2: Convert to fraction form
    327,478.50/520,740 = 520,740/x
  3. Step 3: Cross multiply
    327,478.50x = 520,740 × 520,740
  4. Step 4: Simplify right side
    327,478.50x = 271,170,147,600
  5. Step 5: Solve for x
    x = 271,170,147,600/327,478.50
  6. Step 6: Final answer
    x = 828,054.81

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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.