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Finding the Third Proportional to 479.36 and 1,055.53

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Solution

The third proportional to 479.36 and 1,055.53 is: 2,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.36 : 1,055.53 = 1,055.53 : x
  2. Step 2: Convert to fraction form
    479.36/1,055.53 = 1,055.53/x
  3. Step 3: Cross multiply
    479.36x = 1,055.53 × 1,055.53
  4. Step 4: Simplify right side
    479.36x = 1,114,146.22
  5. Step 5: Solve for x
    x = 1,114,146.22/479.36
  6. Step 6: Final answer
    x = 2,324.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.