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Finding the Third Proportional to 427.68 and 663.15

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Solution

The third proportional to 427.68 and 663.15 is: 1,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.68 : 663.15 = 663.15 : x
  2. Step 2: Convert to fraction form
    427.68/663.15 = 663.15/x
  3. Step 3: Cross multiply
    427.68x = 663.15 × 663.15
  4. Step 4: Simplify right side
    427.68x = 439,765.20
  5. Step 5: Solve for x
    x = 439,765.20/427.68
  6. Step 6: Final answer
    x = 1,028.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.