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Finding the Third Proportional to 279,623 and 444,771

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Solution

The third proportional to 279,623 and 444,771 is: 707,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,623 : 444,771 = 444,771 : x
  2. Step 2: Convert to fraction form
    279,623/444,771 = 444,771/x
  3. Step 3: Cross multiply
    279,623x = 444,771 × 444,771
  4. Step 4: Simplify right side
    279,623x = 197,821,242,441
  5. Step 5: Solve for x
    x = 197,821,242,441/279,623
  6. Step 6: Final answer
    x = 707,456.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.