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Finding the Third Proportional to 279,619 and 444,764.50

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Solution

The third proportional to 279,619 and 444,764.50 is: 707,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,619 : 444,764.50 = 444,764.50 : x
  2. Step 2: Convert to fraction form
    279,619/444,764.50 = 444,764.50/x
  3. Step 3: Cross multiply
    279,619x = 444,764.50 × 444,764.50
  4. Step 4: Simplify right side
    279,619x = 197,815,460,460.25
  5. Step 5: Solve for x
    x = 197,815,460,460.25/279,619
  6. Step 6: Final answer
    x = 707,446.42

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Why These Related Problems?

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