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Finding the Third Proportional to 395,326 and 850,690

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Solution

The third proportional to 395,326 and 850,690 is: 1,830,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,326 : 850,690 = 850,690 : x
  2. Step 2: Convert to fraction form
    395,326/850,690 = 850,690/x
  3. Step 3: Cross multiply
    395,326x = 850,690 × 850,690
  4. Step 4: Simplify right side
    395,326x = 723,673,476,100
  5. Step 5: Solve for x
    x = 723,673,476,100/395,326
  6. Step 6: Final answer
    x = 1,830,573.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.