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Finding the Third Proportional to 386,643.75 and 848,937

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Solution

The third proportional to 386,643.75 and 848,937 is: 1,863,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,643.75 : 848,937 = 848,937 : x
  2. Step 2: Convert to fraction form
    386,643.75/848,937 = 848,937/x
  3. Step 3: Cross multiply
    386,643.75x = 848,937 × 848,937
  4. Step 4: Simplify right side
    386,643.75x = 720,694,029,969
  5. Step 5: Solve for x
    x = 720,694,029,969/386,643.75
  6. Step 6: Final answer
    x = 1,863,974.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.