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Finding the Third Proportional to 193,323 and 424,471

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Solution

The third proportional to 193,323 and 424,471 is: 931,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,323 : 424,471 = 424,471 : x
  2. Step 2: Convert to fraction form
    193,323/424,471 = 424,471/x
  3. Step 3: Cross multiply
    193,323x = 424,471 × 424,471
  4. Step 4: Simplify right side
    193,323x = 180,175,629,841
  5. Step 5: Solve for x
    x = 180,175,629,841/193,323
  6. Step 6: Final answer
    x = 931,992.73

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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.