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Finding the Third Proportional to 211,459.50 and 327,933

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Solution

The third proportional to 211,459.50 and 327,933 is: 508,560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,459.50 : 327,933 = 327,933 : x
  2. Step 2: Convert to fraction form
    211,459.50/327,933 = 327,933/x
  3. Step 3: Cross multiply
    211,459.50x = 327,933 × 327,933
  4. Step 4: Simplify right side
    211,459.50x = 107,540,052,489
  5. Step 5: Solve for x
    x = 107,540,052,489/211,459.50
  6. Step 6: Final answer
    x = 508,560.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.