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Finding the Third Proportional to 824.97 and 1,803.69

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Solution

The third proportional to 824.97 and 1,803.69 is: 3,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.97 : 1,803.69 = 1,803.69 : x
  2. Step 2: Convert to fraction form
    824.97/1,803.69 = 1,803.69/x
  3. Step 3: Cross multiply
    824.97x = 1,803.69 × 1,803.69
  4. Step 4: Simplify right side
    824.97x = 3,253,288.60
  5. Step 5: Solve for x
    x = 3,253,288.60/824.97
  6. Step 6: Final answer
    x = 3,943.53

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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.