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Finding the Third Proportional to 311,210.44 and 682,684.88

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Solution

The third proportional to 311,210.44 and 682,684.88 is: 1,497,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,210.44 : 682,684.88 = 682,684.88 : x
  2. Step 2: Convert to fraction form
    311,210.44/682,684.88 = 682,684.88/x
  3. Step 3: Cross multiply
    311,210.44x = 682,684.88 × 682,684.88
  4. Step 4: Simplify right side
    311,210.44x = 466,058,638,553.77
  5. Step 5: Solve for x
    x = 466,058,638,553.77/311,210.44
  6. Step 6: Final answer
    x = 1,497,567.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.