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Finding the Third Proportional to 309.94 and 673.03

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Solution

The third proportional to 309.94 and 673.03 is: 1,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.94 : 673.03 = 673.03 : x
  2. Step 2: Convert to fraction form
    309.94/673.03 = 673.03/x
  3. Step 3: Cross multiply
    309.94x = 673.03 × 673.03
  4. Step 4: Simplify right side
    309.94x = 452,971.06
  5. Step 5: Solve for x
    x = 452,971.06/309.94
  6. Step 6: Final answer
    x = 1,461.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.