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Finding the Third Proportional to 193,648 and 424,624

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Solution

The third proportional to 193,648 and 424,624 is: 931,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,648 : 424,624 = 424,624 : x
  2. Step 2: Convert to fraction form
    193,648/424,624 = 424,624/x
  3. Step 3: Cross multiply
    193,648x = 424,624 × 424,624
  4. Step 4: Simplify right side
    193,648x = 180,305,541,376
  5. Step 5: Solve for x
    x = 180,305,541,376/193,648
  6. Step 6: Final answer
    x = 931,099.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.