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Finding the Third Proportional to 479.57 and 1,043.60

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Solution

The third proportional to 479.57 and 1,043.60 is: 2,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.57 : 1,043.60 = 1,043.60 : x
  2. Step 2: Convert to fraction form
    479.57/1,043.60 = 1,043.60/x
  3. Step 3: Cross multiply
    479.57x = 1,043.60 × 1,043.60
  4. Step 4: Simplify right side
    479.57x = 1,089,105.25
  5. Step 5: Solve for x
    x = 1,089,105.25/479.57
  6. Step 6: Final answer
    x = 2,271.02

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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.