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Finding the Third Proportional to 461.63 and 1,003.88

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Solution

The third proportional to 461.63 and 1,003.88 is: 2,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.63 : 1,003.88 = 1,003.88 : x
  2. Step 2: Convert to fraction form
    461.63/1,003.88 = 1,003.88/x
  3. Step 3: Cross multiply
    461.63x = 1,003.88 × 1,003.88
  4. Step 4: Simplify right side
    461.63x = 1,007,765.02
  5. Step 5: Solve for x
    x = 1,007,765.02/461.63
  6. Step 6: Final answer
    x = 2,183.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.