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Finding the Third Proportional to 488.94 and 1,018.19

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Solution

The third proportional to 488.94 and 1,018.19 is: 2,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.94 : 1,018.19 = 1,018.19 : x
  2. Step 2: Convert to fraction form
    488.94/1,018.19 = 1,018.19/x
  3. Step 3: Cross multiply
    488.94x = 1,018.19 × 1,018.19
  4. Step 4: Simplify right side
    488.94x = 1,036,705.79
  5. Step 5: Solve for x
    x = 1,036,705.79/488.94
  6. Step 6: Final answer
    x = 2,120.32

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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.