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Finding the Third Proportional to 480.94 and 1,034.86

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Solution

The third proportional to 480.94 and 1,034.86 is: 2,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.94 : 1,034.86 = 1,034.86 : x
  2. Step 2: Convert to fraction form
    480.94/1,034.86 = 1,034.86/x
  3. Step 3: Cross multiply
    480.94x = 1,034.86 × 1,034.86
  4. Step 4: Simplify right side
    480.94x = 1,070,933.93
  5. Step 5: Solve for x
    x = 1,070,933.93/480.94
  6. Step 6: Final answer
    x = 2,226.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.