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Finding the Third Proportional to 324.42 and 541.27

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Solution

The third proportional to 324.42 and 541.27 is: 903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.42 : 541.27 = 541.27 : x
  2. Step 2: Convert to fraction form
    324.42/541.27 = 541.27/x
  3. Step 3: Cross multiply
    324.42x = 541.27 × 541.27
  4. Step 4: Simplify right side
    324.42x = 292,968.48
  5. Step 5: Solve for x
    x = 292,968.48/324.42
  6. Step 6: Final answer
    x = 903.05

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.