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Finding the Third Proportional to 311,535 and 682,029

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Solution

The third proportional to 311,535 and 682,029 is: 1,493,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,535 : 682,029 = 682,029 : x
  2. Step 2: Convert to fraction form
    311,535/682,029 = 682,029/x
  3. Step 3: Cross multiply
    311,535x = 682,029 × 682,029
  4. Step 4: Simplify right side
    311,535x = 465,163,556,841
  5. Step 5: Solve for x
    x = 465,163,556,841/311,535
  6. Step 6: Final answer
    x = 1,493,134.18

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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.