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Finding the Third Proportional to 524.03 and 1,211.97

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Solution

The third proportional to 524.03 and 1,211.97 is: 2,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.03 : 1,211.97 = 1,211.97 : x
  2. Step 2: Convert to fraction form
    524.03/1,211.97 = 1,211.97/x
  3. Step 3: Cross multiply
    524.03x = 1,211.97 × 1,211.97
  4. Step 4: Simplify right side
    524.03x = 1,468,868.25
  5. Step 5: Solve for x
    x = 1,468,868.25/524.03
  6. Step 6: Final answer
    x = 2,803.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.