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Finding the Third Proportional to 540.94 and 1,182.05

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Solution

The third proportional to 540.94 and 1,182.05 is: 2,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.94 : 1,182.05 = 1,182.05 : x
  2. Step 2: Convert to fraction form
    540.94/1,182.05 = 1,182.05/x
  3. Step 3: Cross multiply
    540.94x = 1,182.05 × 1,182.05
  4. Step 4: Simplify right side
    540.94x = 1,397,234.81
  5. Step 5: Solve for x
    x = 1,397,234.81/540.94
  6. Step 6: Final answer
    x = 2,582.99

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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.