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Finding the Third Proportional to 366,993 and 806,156.63

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Solution

The third proportional to 366,993 and 806,156.63 is: 1,770,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,993 : 806,156.63 = 806,156.63 : x
  2. Step 2: Convert to fraction form
    366,993/806,156.63 = 806,156.63/x
  3. Step 3: Cross multiply
    366,993x = 806,156.63 × 806,156.63
  4. Step 4: Simplify right side
    366,993x = 649,888,504,031.39
  5. Step 5: Solve for x
    x = 649,888,504,031.39/366,993
  6. Step 6: Final answer
    x = 1,770,847.14

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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.