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Finding the Third Proportional to 309,630.94 and 682,116.19

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Solution

The third proportional to 309,630.94 and 682,116.19 is: 1,502,700.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,630.94 : 682,116.19 = 682,116.19 : x
  2. Step 2: Convert to fraction form
    309,630.94/682,116.19 = 682,116.19/x
  3. Step 3: Cross multiply
    309,630.94x = 682,116.19 × 682,116.19
  4. Step 4: Simplify right side
    309,630.94x = 465,282,493,249.54
  5. Step 5: Solve for x
    x = 465,282,493,249.54/309,630.94
  6. Step 6: Final answer
    x = 1,502,700.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.