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Finding the Third Proportional to 496,680.75 and 1,072,739.25

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Solution

The third proportional to 496,680.75 and 1,072,739.25 is: 2,316,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,680.75 : 1,072,739.25 = 1,072,739.25 : x
  2. Step 2: Convert to fraction form
    496,680.75/1,072,739.25 = 1,072,739.25/x
  3. Step 3: Cross multiply
    496,680.75x = 1,072,739.25 × 1,072,739.25
  4. Step 4: Simplify right side
    496,680.75x = 1,150,769,498,490.56
  5. Step 5: Solve for x
    x = 1,150,769,498,490.56/496,680.75
  6. Step 6: Final answer
    x = 2,316,919.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.