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Finding the Third Proportional to 379,716 and 835,224

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Solution

The third proportional to 379,716 and 835,224 is: 1,837,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,716 : 835,224 = 835,224 : x
  2. Step 2: Convert to fraction form
    379,716/835,224 = 835,224/x
  3. Step 3: Cross multiply
    379,716x = 835,224 × 835,224
  4. Step 4: Simplify right side
    379,716x = 697,599,130,176
  5. Step 5: Solve for x
    x = 697,599,130,176/379,716
  6. Step 6: Final answer
    x = 1,837,160.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.