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Finding the Third Proportional to 312,371.44 and 673,336.13

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Solution

The third proportional to 312,371.44 and 673,336.13 is: 1,451,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,371.44 : 673,336.13 = 673,336.13 : x
  2. Step 2: Convert to fraction form
    312,371.44/673,336.13 = 673,336.13/x
  3. Step 3: Cross multiply
    312,371.44x = 673,336.13 × 673,336.13
  4. Step 4: Simplify right side
    312,371.44x = 453,381,537,230.02
  5. Step 5: Solve for x
    x = 453,381,537,230.02/312,371.44
  6. Step 6: Final answer
    x = 1,451,418.03

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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.