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Finding the Third Proportional to 524.75 and 768.13

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Solution

The third proportional to 524.75 and 768.13 is: 1,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.75 : 768.13 = 768.13 : x
  2. Step 2: Convert to fraction form
    524.75/768.13 = 768.13/x
  3. Step 3: Cross multiply
    524.75x = 768.13 × 768.13
  4. Step 4: Simplify right side
    524.75x = 590,016.02
  5. Step 5: Solve for x
    x = 590,016.02/524.75
  6. Step 6: Final answer
    x = 1,124.38

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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.