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Finding the Third Proportional to 541.05 and 1,224.49

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Solution

The third proportional to 541.05 and 1,224.49 is: 2,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.05 : 1,224.49 = 1,224.49 : x
  2. Step 2: Convert to fraction form
    541.05/1,224.49 = 1,224.49/x
  3. Step 3: Cross multiply
    541.05x = 1,224.49 × 1,224.49
  4. Step 4: Simplify right side
    541.05x = 1,499,381.12
  5. Step 5: Solve for x
    x = 1,499,381.12/541.05
  6. Step 6: Final answer
    x = 2,771.22

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.