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Finding the Third Proportional to 299,337 and 452,115.75

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Solution

The third proportional to 299,337 and 452,115.75 is: 682,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,337 : 452,115.75 = 452,115.75 : x
  2. Step 2: Convert to fraction form
    299,337/452,115.75 = 452,115.75/x
  3. Step 3: Cross multiply
    299,337x = 452,115.75 × 452,115.75
  4. Step 4: Simplify right side
    299,337x = 204,408,651,398.06
  5. Step 5: Solve for x
    x = 204,408,651,398.06/299,337
  6. Step 6: Final answer
    x = 682,871.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.