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Finding the Third Proportional to 605,343 and 848,371.50

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Solution

The third proportional to 605,343 and 848,371.50 is: 1,188,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,343 : 848,371.50 = 848,371.50 : x
  2. Step 2: Convert to fraction form
    605,343/848,371.50 = 848,371.50/x
  3. Step 3: Cross multiply
    605,343x = 848,371.50 × 848,371.50
  4. Step 4: Simplify right side
    605,343x = 719,734,202,012.25
  5. Step 5: Solve for x
    x = 719,734,202,012.25/605,343
  6. Step 6: Final answer
    x = 1,188,969.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.