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Finding the Third Proportional to 311,633.44 and 669,813.75

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Solution

The third proportional to 311,633.44 and 669,813.75 is: 1,439,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,633.44 : 669,813.75 = 669,813.75 : x
  2. Step 2: Convert to fraction form
    311,633.44/669,813.75 = 669,813.75/x
  3. Step 3: Cross multiply
    311,633.44x = 669,813.75 × 669,813.75
  4. Step 4: Simplify right side
    311,633.44x = 448,650,459,689.06
  5. Step 5: Solve for x
    x = 448,650,459,689.06/311,633.44
  6. Step 6: Final answer
    x = 1,439,673.69

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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.