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Finding the Third Proportional to 479.94 and 1,035.63

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Solution

The third proportional to 479.94 and 1,035.63 is: 2,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.94 : 1,035.63 = 1,035.63 : x
  2. Step 2: Convert to fraction form
    479.94/1,035.63 = 1,035.63/x
  3. Step 3: Cross multiply
    479.94x = 1,035.63 × 1,035.63
  4. Step 4: Simplify right side
    479.94x = 1,072,519.14
  5. Step 5: Solve for x
    x = 1,072,519.14/479.94
  6. Step 6: Final answer
    x = 2,234.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.