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Finding the Third Proportional to 395,192 and 865,336

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Solution

The third proportional to 395,192 and 865,336 is: 1,894,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,192 : 865,336 = 865,336 : x
  2. Step 2: Convert to fraction form
    395,192/865,336 = 865,336/x
  3. Step 3: Cross multiply
    395,192x = 865,336 × 865,336
  4. Step 4: Simplify right side
    395,192x = 748,806,392,896
  5. Step 5: Solve for x
    x = 748,806,392,896/395,192
  6. Step 6: Final answer
    x = 1,894,791.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.