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Finding the Third Proportional to 199,623 and 444,294

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Solution

The third proportional to 199,623 and 444,294 is: 988,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,623 : 444,294 = 444,294 : x
  2. Step 2: Convert to fraction form
    199,623/444,294 = 444,294/x
  3. Step 3: Cross multiply
    199,623x = 444,294 × 444,294
  4. Step 4: Simplify right side
    199,623x = 197,397,158,436
  5. Step 5: Solve for x
    x = 197,397,158,436/199,623
  6. Step 6: Final answer
    x = 988,849.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.