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Finding the Third Proportional to 368,845 and 809,114

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Solution

The third proportional to 368,845 and 809,114 is: 1,774,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,845 : 809,114 = 809,114 : x
  2. Step 2: Convert to fraction form
    368,845/809,114 = 809,114/x
  3. Step 3: Cross multiply
    368,845x = 809,114 × 809,114
  4. Step 4: Simplify right side
    368,845x = 654,665,464,996
  5. Step 5: Solve for x
    x = 654,665,464,996/368,845
  6. Step 6: Final answer
    x = 1,774,906.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.