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Finding the Third Proportional to 454.46 and 673.14

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Solution

The third proportional to 454.46 and 673.14 is: 997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.46 : 673.14 = 673.14 : x
  2. Step 2: Convert to fraction form
    454.46/673.14 = 673.14/x
  3. Step 3: Cross multiply
    454.46x = 673.14 × 673.14
  4. Step 4: Simplify right side
    454.46x = 453,113.04
  5. Step 5: Solve for x
    x = 453,113.04/454.46
  6. Step 6: Final answer
    x = 997.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.