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Finding the Third Proportional to 367,003 and 806,176.75

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Solution

The third proportional to 367,003 and 806,176.75 is: 1,770,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,003 : 806,176.75 = 806,176.75 : x
  2. Step 2: Convert to fraction form
    367,003/806,176.75 = 806,176.75/x
  3. Step 3: Cross multiply
    367,003x = 806,176.75 × 806,176.75
  4. Step 4: Simplify right side
    367,003x = 649,920,952,240.56
  5. Step 5: Solve for x
    x = 649,920,952,240.56/367,003
  6. Step 6: Final answer
    x = 1,770,887.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.