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Finding the Third Proportional to 283,879.69 and 599,745.94

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Solution

The third proportional to 283,879.69 and 599,745.94 is: 1,267,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,879.69 : 599,745.94 = 599,745.94 : x
  2. Step 2: Convert to fraction form
    283,879.69/599,745.94 = 599,745.94/x
  3. Step 3: Cross multiply
    283,879.69x = 599,745.94 × 599,745.94
  4. Step 4: Simplify right side
    283,879.69x = 359,695,189,547.75
  5. Step 5: Solve for x
    x = 359,695,189,547.75/283,879.69
  6. Step 6: Final answer
    x = 1,267,069.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.