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Finding the Third Proportional to 446.77 and 927.70

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Solution

The third proportional to 446.77 and 927.70 is: 1,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.77 : 927.70 = 927.70 : x
  2. Step 2: Convert to fraction form
    446.77/927.70 = 927.70/x
  3. Step 3: Cross multiply
    446.77x = 927.70 × 927.70
  4. Step 4: Simplify right side
    446.77x = 860,633.09
  5. Step 5: Solve for x
    x = 860,633.09/446.77
  6. Step 6: Final answer
    x = 1,926.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.