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Finding the Third Proportional to 300,944 and 673,184

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Solution

The third proportional to 300,944 and 673,184 is: 1,505,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,944 : 673,184 = 673,184 : x
  2. Step 2: Convert to fraction form
    300,944/673,184 = 673,184/x
  3. Step 3: Cross multiply
    300,944x = 673,184 × 673,184
  4. Step 4: Simplify right side
    300,944x = 453,176,697,856
  5. Step 5: Solve for x
    x = 453,176,697,856/300,944
  6. Step 6: Final answer
    x = 1,505,850.58

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.