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Finding the Third Proportional to 524.44 and 1,082.06

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Solution

The third proportional to 524.44 and 1,082.06 is: 2,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.44 : 1,082.06 = 1,082.06 : x
  2. Step 2: Convert to fraction form
    524.44/1,082.06 = 1,082.06/x
  3. Step 3: Cross multiply
    524.44x = 1,082.06 × 1,082.06
  4. Step 4: Simplify right side
    524.44x = 1,170,859.25
  5. Step 5: Solve for x
    x = 1,170,859.25/524.44
  6. Step 6: Final answer
    x = 2,232.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.