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Finding the Third Proportional to 541.55 and 1,116.84

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Solution

The third proportional to 541.55 and 1,116.84 is: 2,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.55 : 1,116.84 = 1,116.84 : x
  2. Step 2: Convert to fraction form
    541.55/1,116.84 = 1,116.84/x
  3. Step 3: Cross multiply
    541.55x = 1,116.84 × 1,116.84
  4. Step 4: Simplify right side
    541.55x = 1,247,339.96
  5. Step 5: Solve for x
    x = 1,247,339.96/541.55
  6. Step 6: Final answer
    x = 2,303.29

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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.