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Finding the Third Proportional to 193,093 and 403,832

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Solution

The third proportional to 193,093 and 403,832 is: 844,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,093 : 403,832 = 403,832 : x
  2. Step 2: Convert to fraction form
    193,093/403,832 = 403,832/x
  3. Step 3: Cross multiply
    193,093x = 403,832 × 403,832
  4. Step 4: Simplify right side
    193,093x = 163,080,284,224
  5. Step 5: Solve for x
    x = 163,080,284,224/193,093
  6. Step 6: Final answer
    x = 844,568.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.