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Finding the Third Proportional to 451.09 and 673.63

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Solution

The third proportional to 451.09 and 673.63 is: 1,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.09 : 673.63 = 673.63 : x
  2. Step 2: Convert to fraction form
    451.09/673.63 = 673.63/x
  3. Step 3: Cross multiply
    451.09x = 673.63 × 673.63
  4. Step 4: Simplify right side
    451.09x = 453,775.90
  5. Step 5: Solve for x
    x = 453,775.90/451.09
  6. Step 6: Final answer
    x = 1,005.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.