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Finding the Third Proportional to 846.86 and 1,223.23

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Solution

The third proportional to 846.86 and 1,223.23 is: 1,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.86 : 1,223.23 = 1,223.23 : x
  2. Step 2: Convert to fraction form
    846.86/1,223.23 = 1,223.23/x
  3. Step 3: Cross multiply
    846.86x = 1,223.23 × 1,223.23
  4. Step 4: Simplify right side
    846.86x = 1,496,283.22
  5. Step 5: Solve for x
    x = 1,496,283.22/846.86
  6. Step 6: Final answer
    x = 1,766.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.