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Finding the Third Proportional to 541.55 and 1,186.17

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Solution

The third proportional to 541.55 and 1,186.17 is: 2,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.55 : 1,186.17 = 1,186.17 : x
  2. Step 2: Convert to fraction form
    541.55/1,186.17 = 1,186.17/x
  3. Step 3: Cross multiply
    541.55x = 1,186.17 × 1,186.17
  4. Step 4: Simplify right side
    541.55x = 1,407,003.72
  5. Step 5: Solve for x
    x = 1,407,003.72/541.55
  6. Step 6: Final answer
    x = 2,598.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.