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Finding the Third Proportional to 524.81 and 737.44

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Solution

The third proportional to 524.81 and 737.44 is: 1,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.81 : 737.44 = 737.44 : x
  2. Step 2: Convert to fraction form
    524.81/737.44 = 737.44/x
  3. Step 3: Cross multiply
    524.81x = 737.44 × 737.44
  4. Step 4: Simplify right side
    524.81x = 543,814.07
  5. Step 5: Solve for x
    x = 543,814.07/524.81
  6. Step 6: Final answer
    x = 1,036.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.