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Finding the Third Proportional to 673.73 and 1,453.78

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Solution

The third proportional to 673.73 and 1,453.78 is: 3,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.73 : 1,453.78 = 1,453.78 : x
  2. Step 2: Convert to fraction form
    673.73/1,453.78 = 1,453.78/x
  3. Step 3: Cross multiply
    673.73x = 1,453.78 × 1,453.78
  4. Step 4: Simplify right side
    673.73x = 2,113,479.92
  5. Step 5: Solve for x
    x = 2,113,479.92/673.73
  6. Step 6: Final answer
    x = 3,136.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.