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Finding the Third Proportional to 445 and 1,039.25

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Solution

The third proportional to 445 and 1,039.25 is: 2,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445 : 1,039.25 = 1,039.25 : x
  2. Step 2: Convert to fraction form
    445/1,039.25 = 1,039.25/x
  3. Step 3: Cross multiply
    445x = 1,039.25 × 1,039.25
  4. Step 4: Simplify right side
    445x = 1,080,040.56
  5. Step 5: Solve for x
    x = 1,080,040.56/445
  6. Step 6: Final answer
    x = 2,427.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.