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Finding the Third Proportional to 379,824 and 832,112

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Solution

The third proportional to 379,824 and 832,112 is: 1,822,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,824 : 832,112 = 832,112 : x
  2. Step 2: Convert to fraction form
    379,824/832,112 = 832,112/x
  3. Step 3: Cross multiply
    379,824x = 832,112 × 832,112
  4. Step 4: Simplify right side
    379,824x = 692,410,380,544
  5. Step 5: Solve for x
    x = 692,410,380,544/379,824
  6. Step 6: Final answer
    x = 1,822,976.91

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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.