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Finding the Third Proportional to 324,338.63 and 696,632.63

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Solution

The third proportional to 324,338.63 and 696,632.63 is: 1,496,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,338.63 : 696,632.63 = 696,632.63 : x
  2. Step 2: Convert to fraction form
    324,338.63/696,632.63 = 696,632.63/x
  3. Step 3: Cross multiply
    324,338.63x = 696,632.63 × 696,632.63
  4. Step 4: Simplify right side
    324,338.63x = 485,297,014,214.39
  5. Step 5: Solve for x
    x = 485,297,014,214.39/324,338.63
  6. Step 6: Final answer
    x = 1,496,266.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.