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Finding the Third Proportional to 823.88 and 1,235.81

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Solution

The third proportional to 823.88 and 1,235.81 is: 1,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.88 : 1,235.81 = 1,235.81 : x
  2. Step 2: Convert to fraction form
    823.88/1,235.81 = 1,235.81/x
  3. Step 3: Cross multiply
    823.88x = 1,235.81 × 1,235.81
  4. Step 4: Simplify right side
    823.88x = 1,527,232.54
  5. Step 5: Solve for x
    x = 1,527,232.54/823.88
  6. Step 6: Final answer
    x = 1,853.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.