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Finding the Third Proportional to 311,050.50 and 682,365

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Solution

The third proportional to 311,050.50 and 682,365 is: 1,496,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,050.50 : 682,365 = 682,365 : x
  2. Step 2: Convert to fraction form
    311,050.50/682,365 = 682,365/x
  3. Step 3: Cross multiply
    311,050.50x = 682,365 × 682,365
  4. Step 4: Simplify right side
    311,050.50x = 465,621,993,225
  5. Step 5: Solve for x
    x = 465,621,993,225/311,050.50
  6. Step 6: Final answer
    x = 1,496,933.76

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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.