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Finding the Third Proportional to 193,344 and 424,772

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Solution

The third proportional to 193,344 and 424,772 is: 933,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,344 : 424,772 = 424,772 : x
  2. Step 2: Convert to fraction form
    193,344/424,772 = 424,772/x
  3. Step 3: Cross multiply
    193,344x = 424,772 × 424,772
  4. Step 4: Simplify right side
    193,344x = 180,431,251,984
  5. Step 5: Solve for x
    x = 180,431,251,984/193,344
  6. Step 6: Final answer
    x = 933,213.61

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