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Finding the Third Proportional to 479,464.50 and 727,944.75

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Solution

The third proportional to 479,464.50 and 727,944.75 is: 1,105,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,464.50 : 727,944.75 = 727,944.75 : x
  2. Step 2: Convert to fraction form
    479,464.50/727,944.75 = 727,944.75/x
  3. Step 3: Cross multiply
    479,464.50x = 727,944.75 × 727,944.75
  4. Step 4: Simplify right side
    479,464.50x = 529,903,559,052.56
  5. Step 5: Solve for x
    x = 529,903,559,052.56/479,464.50
  6. Step 6: Final answer
    x = 1,105,198.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.