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Finding the Third Proportional to 321,684.75 and 696,324.09

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Solution

The third proportional to 321,684.75 and 696,324.09 is: 1,507,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,684.75 : 696,324.09 = 696,324.09 : x
  2. Step 2: Convert to fraction form
    321,684.75/696,324.09 = 696,324.09/x
  3. Step 3: Cross multiply
    321,684.75x = 696,324.09 × 696,324.09
  4. Step 4: Simplify right side
    321,684.75x = 484,867,243,536.76
  5. Step 5: Solve for x
    x = 484,867,243,536.76/321,684.75
  6. Step 6: Final answer
    x = 1,507,274.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.