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Finding the Third Proportional to 457.73 and 1,003.08

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Solution

The third proportional to 457.73 and 1,003.08 is: 2,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.73 : 1,003.08 = 1,003.08 : x
  2. Step 2: Convert to fraction form
    457.73/1,003.08 = 1,003.08/x
  3. Step 3: Cross multiply
    457.73x = 1,003.08 × 1,003.08
  4. Step 4: Simplify right side
    457.73x = 1,006,165.72
  5. Step 5: Solve for x
    x = 1,006,165.72/457.73
  6. Step 6: Final answer
    x = 2,198.14

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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.