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Finding the Third Proportional to 321,858.56 and 699,024.94

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Solution

The third proportional to 321,858.56 and 699,024.94 is: 1,518,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,858.56 : 699,024.94 = 699,024.94 : x
  2. Step 2: Convert to fraction form
    321,858.56/699,024.94 = 699,024.94/x
  3. Step 3: Cross multiply
    321,858.56x = 699,024.94 × 699,024.94
  4. Step 4: Simplify right side
    321,858.56x = 488,635,863,246.88
  5. Step 5: Solve for x
    x = 488,635,863,246.88/321,858.56
  6. Step 6: Final answer
    x = 1,518,169.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.