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Finding the Third Proportional to 427.22 and 654.94

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Solution

The third proportional to 427.22 and 654.94 is: 1,004.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.22 : 654.94 = 654.94 : x
  2. Step 2: Convert to fraction form
    427.22/654.94 = 654.94/x
  3. Step 3: Cross multiply
    427.22x = 654.94 × 654.94
  4. Step 4: Simplify right side
    427.22x = 428,943.13
  5. Step 5: Solve for x
    x = 428,943.13/427.22
  6. Step 6: Final answer
    x = 1,004.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.