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Finding the Third Proportional to 300,614 and 450,093

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Solution

The third proportional to 300,614 and 450,093 is: 673,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,614 : 450,093 = 450,093 : x
  2. Step 2: Convert to fraction form
    300,614/450,093 = 450,093/x
  3. Step 3: Cross multiply
    300,614x = 450,093 × 450,093
  4. Step 4: Simplify right side
    300,614x = 202,583,708,649
  5. Step 5: Solve for x
    x = 202,583,708,649/300,614
  6. Step 6: Final answer
    x = 673,899.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.