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Finding the Third Proportional to 344,676.75 and 496,441.13

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Solution

The third proportional to 344,676.75 and 496,441.13 is: 715,028.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,676.75 : 496,441.13 = 496,441.13 : x
  2. Step 2: Convert to fraction form
    344,676.75/496,441.13 = 496,441.13/x
  3. Step 3: Cross multiply
    344,676.75x = 496,441.13 × 496,441.13
  4. Step 4: Simplify right side
    344,676.75x = 246,453,790,591.27
  5. Step 5: Solve for x
    x = 246,453,790,591.27/344,676.75
  6. Step 6: Final answer
    x = 715,028.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.