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Finding the Third Proportional to 446.77 and 980.86

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Solution

The third proportional to 446.77 and 980.86 is: 2,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.77 : 980.86 = 980.86 : x
  2. Step 2: Convert to fraction form
    446.77/980.86 = 980.86/x
  3. Step 3: Cross multiply
    446.77x = 980.86 × 980.86
  4. Step 4: Simplify right side
    446.77x = 962,085.11
  5. Step 5: Solve for x
    x = 962,085.11/446.77
  6. Step 6: Final answer
    x = 2,153.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.