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Finding the Third Proportional to 486.09 and 1,063.41

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Solution

The third proportional to 486.09 and 1,063.41 is: 2,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.09 : 1,063.41 = 1,063.41 : x
  2. Step 2: Convert to fraction form
    486.09/1,063.41 = 1,063.41/x
  3. Step 3: Cross multiply
    486.09x = 1,063.41 × 1,063.41
  4. Step 4: Simplify right side
    486.09x = 1,130,832.85
  5. Step 5: Solve for x
    x = 1,130,832.85/486.09
  6. Step 6: Final answer
    x = 2,326.37

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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.