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Finding the Third Proportional to 421.41 and 890.86

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Solution

The third proportional to 421.41 and 890.86 is: 1,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.41 : 890.86 = 890.86 : x
  2. Step 2: Convert to fraction form
    421.41/890.86 = 890.86/x
  3. Step 3: Cross multiply
    421.41x = 890.86 × 890.86
  4. Step 4: Simplify right side
    421.41x = 793,630.43
  5. Step 5: Solve for x
    x = 793,630.43/421.41
  6. Step 6: Final answer
    x = 1,883.29

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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.