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Finding the Third Proportional to 416,844 and 848,419.50

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Solution

The third proportional to 416,844 and 848,419.50 is: 1,726,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,844 : 848,419.50 = 848,419.50 : x
  2. Step 2: Convert to fraction form
    416,844/848,419.50 = 848,419.50/x
  3. Step 3: Cross multiply
    416,844x = 848,419.50 × 848,419.50
  4. Step 4: Simplify right side
    416,844x = 719,815,647,980.25
  5. Step 5: Solve for x
    x = 719,815,647,980.25/416,844
  6. Step 6: Final answer
    x = 1,726,822.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.