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Finding the Third Proportional to 299,452 and 450,393

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Solution

The third proportional to 299,452 and 450,393 is: 677,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,452 : 450,393 = 450,393 : x
  2. Step 2: Convert to fraction form
    299,452/450,393 = 450,393/x
  3. Step 3: Cross multiply
    299,452x = 450,393 × 450,393
  4. Step 4: Simplify right side
    299,452x = 202,853,854,449
  5. Step 5: Solve for x
    x = 202,853,854,449/299,452
  6. Step 6: Final answer
    x = 677,416.93

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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.