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Finding the Third Proportional to 475.94 and 1,054.44

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Solution

The third proportional to 475.94 and 1,054.44 is: 2,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.94 : 1,054.44 = 1,054.44 : x
  2. Step 2: Convert to fraction form
    475.94/1,054.44 = 1,054.44/x
  3. Step 3: Cross multiply
    475.94x = 1,054.44 × 1,054.44
  4. Step 4: Simplify right side
    475.94x = 1,111,838.44
  5. Step 5: Solve for x
    x = 1,111,838.44/475.94
  6. Step 6: Final answer
    x = 2,336.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.