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Finding the Third Proportional to 307,186.88 and 673,423.03

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Solution

The third proportional to 307,186.88 and 673,423.03 is: 1,476,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,186.88 : 673,423.03 = 673,423.03 : x
  2. Step 2: Convert to fraction form
    307,186.88/673,423.03 = 673,423.03/x
  3. Step 3: Cross multiply
    307,186.88x = 673,423.03 × 673,423.03
  4. Step 4: Simplify right side
    307,186.88x = 453,498,579,017.94
  5. Step 5: Solve for x
    x = 453,498,579,017.94/307,186.88
  6. Step 6: Final answer
    x = 1,476,295.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.