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Finding the Third Proportional to 311,042.25 and 682,348.50

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Solution

The third proportional to 311,042.25 and 682,348.50 is: 1,496,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,042.25 : 682,348.50 = 682,348.50 : x
  2. Step 2: Convert to fraction form
    311,042.25/682,348.50 = 682,348.50/x
  3. Step 3: Cross multiply
    311,042.25x = 682,348.50 × 682,348.50
  4. Step 4: Simplify right side
    311,042.25x = 465,599,475,452.25
  5. Step 5: Solve for x
    x = 465,599,475,452.25/311,042.25
  6. Step 6: Final answer
    x = 1,496,901.07

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Why These Related Problems?

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