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Finding the Third Proportional to 673.27 and 1,428.05

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Solution

The third proportional to 673.27 and 1,428.05 is: 3,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.27 : 1,428.05 = 1,428.05 : x
  2. Step 2: Convert to fraction form
    673.27/1,428.05 = 1,428.05/x
  3. Step 3: Cross multiply
    673.27x = 1,428.05 × 1,428.05
  4. Step 4: Simplify right side
    673.27x = 2,039,317.88
  5. Step 5: Solve for x
    x = 2,039,317.88/673.27
  6. Step 6: Final answer
    x = 3,028.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.