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Finding the Third Proportional to 324,461.25 and 696,912.75

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Solution

The third proportional to 324,461.25 and 696,912.75 is: 1,496,904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,461.25 : 696,912.75 = 696,912.75 : x
  2. Step 2: Convert to fraction form
    324,461.25/696,912.75 = 696,912.75/x
  3. Step 3: Cross multiply
    324,461.25x = 696,912.75 × 696,912.75
  4. Step 4: Simplify right side
    324,461.25x = 485,687,381,112.56
  5. Step 5: Solve for x
    x = 485,687,381,112.56/324,461.25
  6. Step 6: Final answer
    x = 1,496,904.12

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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.