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Finding the Third Proportional to 605,287 and 848,293

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Solution

The third proportional to 605,287 and 848,293 is: 1,188,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,287 : 848,293 = 848,293 : x
  2. Step 2: Convert to fraction form
    605,287/848,293 = 848,293/x
  3. Step 3: Cross multiply
    605,287x = 848,293 × 848,293
  4. Step 4: Simplify right side
    605,287x = 719,601,013,849
  5. Step 5: Solve for x
    x = 719,601,013,849/605,287
  6. Step 6: Final answer
    x = 1,188,859.19

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Why These Related Problems?

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