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Finding the Third Proportional to 427.69 and 936.47

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Solution

The third proportional to 427.69 and 936.47 is: 2,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.69 : 936.47 = 936.47 : x
  2. Step 2: Convert to fraction form
    427.69/936.47 = 936.47/x
  3. Step 3: Cross multiply
    427.69x = 936.47 × 936.47
  4. Step 4: Simplify right side
    427.69x = 876,973.72
  5. Step 5: Solve for x
    x = 876,973.72/427.69
  6. Step 6: Final answer
    x = 2,050.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.