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Finding the Third Proportional to 321,023.25 and 681,230.25

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Solution

The third proportional to 321,023.25 and 681,230.25 is: 1,445,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,023.25 : 681,230.25 = 681,230.25 : x
  2. Step 2: Convert to fraction form
    321,023.25/681,230.25 = 681,230.25/x
  3. Step 3: Cross multiply
    321,023.25x = 681,230.25 × 681,230.25
  4. Step 4: Simplify right side
    321,023.25x = 464,074,653,515.06
  5. Step 5: Solve for x
    x = 464,074,653,515.06/321,023.25
  6. Step 6: Final answer
    x = 1,445,610.73

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.