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Finding the Third Proportional to 479,049.75 and 751,488.75

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Solution

The third proportional to 479,049.75 and 751,488.75 is: 1,178,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,049.75 : 751,488.75 = 751,488.75 : x
  2. Step 2: Convert to fraction form
    479,049.75/751,488.75 = 751,488.75/x
  3. Step 3: Cross multiply
    479,049.75x = 751,488.75 × 751,488.75
  4. Step 4: Simplify right side
    479,049.75x = 564,735,341,376.56
  5. Step 5: Solve for x
    x = 564,735,341,376.56/479,049.75
  6. Step 6: Final answer
    x = 1,178,865.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.