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Finding the Third Proportional to 442.13 and 486.28

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Solution

The third proportional to 442.13 and 486.28 is: 534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 486.28 = 486.28 : x
  2. Step 2: Convert to fraction form
    442.13/486.28 = 486.28/x
  3. Step 3: Cross multiply
    442.13x = 486.28 × 486.28
  4. Step 4: Simplify right side
    442.13x = 236,469.45
  5. Step 5: Solve for x
    x = 236,469.45/442.13
  6. Step 6: Final answer
    x = 534.85

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.