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Finding the Third Proportional to 451.83 and 1,054.27

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Solution

The third proportional to 451.83 and 1,054.27 is: 2,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.83 : 1,054.27 = 1,054.27 : x
  2. Step 2: Convert to fraction form
    451.83/1,054.27 = 1,054.27/x
  3. Step 3: Cross multiply
    451.83x = 1,054.27 × 1,054.27
  4. Step 4: Simplify right side
    451.83x = 1,111,476.01
  5. Step 5: Solve for x
    x = 1,111,476.01/451.83
  6. Step 6: Final answer
    x = 2,459.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.