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Finding the Third Proportional to 193,327 and 424,477

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Solution

The third proportional to 193,327 and 424,477 is: 931,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,327 : 424,477 = 424,477 : x
  2. Step 2: Convert to fraction form
    193,327/424,477 = 424,477/x
  3. Step 3: Cross multiply
    193,327x = 424,477 × 424,477
  4. Step 4: Simplify right side
    193,327x = 180,180,723,529
  5. Step 5: Solve for x
    x = 180,180,723,529/193,327
  6. Step 6: Final answer
    x = 931,999.79

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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.