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Finding the Third Proportional to 199,328 and 424,496

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Solution

The third proportional to 199,328 and 424,496 is: 904,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,328 : 424,496 = 424,496 : x
  2. Step 2: Convert to fraction form
    199,328/424,496 = 424,496/x
  3. Step 3: Cross multiply
    199,328x = 424,496 × 424,496
  4. Step 4: Simplify right side
    199,328x = 180,196,854,016
  5. Step 5: Solve for x
    x = 180,196,854,016/199,328
  6. Step 6: Final answer
    x = 904,021.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.