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Finding the Third Proportional to 253,443 and 379,413

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Solution

The third proportional to 253,443 and 379,413 is: 567,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,443 : 379,413 = 379,413 : x
  2. Step 2: Convert to fraction form
    253,443/379,413 = 379,413/x
  3. Step 3: Cross multiply
    253,443x = 379,413 × 379,413
  4. Step 4: Simplify right side
    253,443x = 143,954,224,569
  5. Step 5: Solve for x
    x = 143,954,224,569/253,443
  6. Step 6: Final answer
    x = 567,994.48

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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.