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Finding the Third Proportional to 427.78 and 1,014.47

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Solution

The third proportional to 427.78 and 1,014.47 is: 2,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.78 : 1,014.47 = 1,014.47 : x
  2. Step 2: Convert to fraction form
    427.78/1,014.47 = 1,014.47/x
  3. Step 3: Cross multiply
    427.78x = 1,014.47 × 1,014.47
  4. Step 4: Simplify right side
    427.78x = 1,029,146.84
  5. Step 5: Solve for x
    x = 1,029,146.84/427.78
  6. Step 6: Final answer
    x = 2,405.78

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.