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Finding the Third Proportional to 231,777.70 and 481,318.88

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Solution

The third proportional to 231,777.70 and 481,318.88 is: 999,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,777.70 : 481,318.88 = 481,318.88 : x
  2. Step 2: Convert to fraction form
    231,777.70/481,318.88 = 481,318.88/x
  3. Step 3: Cross multiply
    231,777.70x = 481,318.88 × 481,318.88
  4. Step 4: Simplify right side
    231,777.70x = 231,667,859,431.27
  5. Step 5: Solve for x
    x = 231,667,859,431.27/231,777.70
  6. Step 6: Final answer
    x = 999,526.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.