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Finding the Third Proportional to 427.22 and 899.72

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Solution

The third proportional to 427.22 and 899.72 is: 1,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.22 : 899.72 = 899.72 : x
  2. Step 2: Convert to fraction form
    427.22/899.72 = 899.72/x
  3. Step 3: Cross multiply
    427.22x = 899.72 × 899.72
  4. Step 4: Simplify right side
    427.22x = 809,493.83
  5. Step 5: Solve for x
    x = 809,493.83/427.22
  6. Step 6: Final answer
    x = 1,894.80

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.