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Finding the Third Proportional to 493.83 and 1,078.79

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Solution

The third proportional to 493.83 and 1,078.79 is: 2,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.83 : 1,078.79 = 1,078.79 : x
  2. Step 2: Convert to fraction form
    493.83/1,078.79 = 1,078.79/x
  3. Step 3: Cross multiply
    493.83x = 1,078.79 × 1,078.79
  4. Step 4: Simplify right side
    493.83x = 1,163,781.63
  5. Step 5: Solve for x
    x = 1,163,781.63/493.83
  6. Step 6: Final answer
    x = 2,356.64

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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.