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Finding the Third Proportional to 605,324 and 848,344

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Solution

The third proportional to 605,324 and 848,344 is: 1,188,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,324 : 848,344 = 848,344 : x
  2. Step 2: Convert to fraction form
    605,324/848,344 = 848,344/x
  3. Step 3: Cross multiply
    605,324x = 848,344 × 848,344
  4. Step 4: Simplify right side
    605,324x = 719,687,542,336
  5. Step 5: Solve for x
    x = 719,687,542,336/605,324
  6. Step 6: Final answer
    x = 1,188,929.47

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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.