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Finding the Third Proportional to 467.78 and 1,020.44

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Solution

The third proportional to 467.78 and 1,020.44 is: 2,226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.78 : 1,020.44 = 1,020.44 : x
  2. Step 2: Convert to fraction form
    467.78/1,020.44 = 1,020.44/x
  3. Step 3: Cross multiply
    467.78x = 1,020.44 × 1,020.44
  4. Step 4: Simplify right side
    467.78x = 1,041,292.69
  5. Step 5: Solve for x
    x = 1,041,292.69/467.78
  6. Step 6: Final answer
    x = 2,226.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.