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Finding the Third Proportional to 883.83 and 1,299.80

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Solution

The third proportional to 883.83 and 1,299.80 is: 1,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.83 : 1,299.80 = 1,299.80 : x
  2. Step 2: Convert to fraction form
    883.83/1,299.80 = 1,299.80/x
  3. Step 3: Cross multiply
    883.83x = 1,299.80 × 1,299.80
  4. Step 4: Simplify right side
    883.83x = 1,689,471.92
  5. Step 5: Solve for x
    x = 1,689,471.92/883.83
  6. Step 6: Final answer
    x = 1,911.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.