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Finding the Third Proportional to 483.47 and 768.23

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Solution

The third proportional to 483.47 and 768.23 is: 1,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.47 : 768.23 = 768.23 : x
  2. Step 2: Convert to fraction form
    483.47/768.23 = 768.23/x
  3. Step 3: Cross multiply
    483.47x = 768.23 × 768.23
  4. Step 4: Simplify right side
    483.47x = 590,184.05
  5. Step 5: Solve for x
    x = 590,184.05/483.47
  6. Step 6: Final answer
    x = 1,220.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.