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Finding the Third Proportional to 852.38 and 1,246.69

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Solution

The third proportional to 852.38 and 1,246.69 is: 1,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.38 : 1,246.69 = 1,246.69 : x
  2. Step 2: Convert to fraction form
    852.38/1,246.69 = 1,246.69/x
  3. Step 3: Cross multiply
    852.38x = 1,246.69 × 1,246.69
  4. Step 4: Simplify right side
    852.38x = 1,554,229.72
  5. Step 5: Solve for x
    x = 1,554,229.72/852.38
  6. Step 6: Final answer
    x = 1,823.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.