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Finding the Third Proportional to 368,844 and 809,112

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Solution

The third proportional to 368,844 and 809,112 is: 1,774,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,844 : 809,112 = 809,112 : x
  2. Step 2: Convert to fraction form
    368,844/809,112 = 809,112/x
  3. Step 3: Cross multiply
    368,844x = 809,112 × 809,112
  4. Step 4: Simplify right side
    368,844x = 654,662,228,544
  5. Step 5: Solve for x
    x = 654,662,228,544/368,844
  6. Step 6: Final answer
    x = 1,774,902.75

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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.