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Finding the Third Proportional to 367,004 and 806,178

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Solution

The third proportional to 367,004 and 806,178 is: 1,770,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,004 : 806,178 = 806,178 : x
  2. Step 2: Convert to fraction form
    367,004/806,178 = 806,178/x
  3. Step 3: Cross multiply
    367,004x = 806,178 × 806,178
  4. Step 4: Simplify right side
    367,004x = 649,922,967,684
  5. Step 5: Solve for x
    x = 649,922,967,684/367,004
  6. Step 6: Final answer
    x = 1,770,887.97

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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.