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Finding the Third Proportional to 605,334 and 848,359.50

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Solution

The third proportional to 605,334 and 848,359.50 is: 1,188,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,334 : 848,359.50 = 848,359.50 : x
  2. Step 2: Convert to fraction form
    605,334/848,359.50 = 848,359.50/x
  3. Step 3: Cross multiply
    605,334x = 848,359.50 × 848,359.50
  4. Step 4: Simplify right side
    605,334x = 719,713,841,240.25
  5. Step 5: Solve for x
    x = 719,713,841,240.25/605,334
  6. Step 6: Final answer
    x = 1,188,953.27

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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.