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Finding the Third Proportional to 540.56 and 1,158.19

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Solution

The third proportional to 540.56 and 1,158.19 is: 2,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.56 : 1,158.19 = 1,158.19 : x
  2. Step 2: Convert to fraction form
    540.56/1,158.19 = 1,158.19/x
  3. Step 3: Cross multiply
    540.56x = 1,158.19 × 1,158.19
  4. Step 4: Simplify right side
    540.56x = 1,341,398.29
  5. Step 5: Solve for x
    x = 1,341,398.29/540.56
  6. Step 6: Final answer
    x = 2,481.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.