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Finding the Third Proportional to 930.44 and 2,046.88

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Solution

The third proportional to 930.44 and 2,046.88 is: 4,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.44 : 2,046.88 = 2,046.88 : x
  2. Step 2: Convert to fraction form
    930.44/2,046.88 = 2,046.88/x
  3. Step 3: Cross multiply
    930.44x = 2,046.88 × 2,046.88
  4. Step 4: Simplify right side
    930.44x = 4,189,697.27
  5. Step 5: Solve for x
    x = 4,189,697.27/930.44
  6. Step 6: Final answer
    x = 4,502.93

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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.