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Finding the Third Proportional to 605,326 and 848,347

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Solution

The third proportional to 605,326 and 848,347 is: 1,188,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,326 : 848,347 = 848,347 : x
  2. Step 2: Convert to fraction form
    605,326/848,347 = 848,347/x
  3. Step 3: Cross multiply
    605,326x = 848,347 × 848,347
  4. Step 4: Simplify right side
    605,326x = 719,692,632,409
  5. Step 5: Solve for x
    x = 719,692,632,409/605,326
  6. Step 6: Final answer
    x = 1,188,933.95

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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.