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Finding the Third Proportional to 367,933.50 and 494,455.50

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Solution

The third proportional to 367,933.50 and 494,455.50 is: 664,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,933.50 : 494,455.50 = 494,455.50 : x
  2. Step 2: Convert to fraction form
    367,933.50/494,455.50 = 494,455.50/x
  3. Step 3: Cross multiply
    367,933.50x = 494,455.50 × 494,455.50
  4. Step 4: Simplify right side
    367,933.50x = 244,486,241,480.25
  5. Step 5: Solve for x
    x = 244,486,241,480.25/367,933.50
  6. Step 6: Final answer
    x = 664,484.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.