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Finding the Third Proportional to 403.45 and 874.83

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Solution

The third proportional to 403.45 and 874.83 is: 1,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.45 : 874.83 = 874.83 : x
  2. Step 2: Convert to fraction form
    403.45/874.83 = 874.83/x
  3. Step 3: Cross multiply
    403.45x = 874.83 × 874.83
  4. Step 4: Simplify right side
    403.45x = 765,324.25
  5. Step 5: Solve for x
    x = 765,324.25/403.45
  6. Step 6: Final answer
    x = 1,896.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.