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Finding the Third Proportional to 379,198 and 533,369

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Solution

The third proportional to 379,198 and 533,369 is: 750,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,198 : 533,369 = 533,369 : x
  2. Step 2: Convert to fraction form
    379,198/533,369 = 533,369/x
  3. Step 3: Cross multiply
    379,198x = 533,369 × 533,369
  4. Step 4: Simplify right side
    379,198x = 284,482,490,161
  5. Step 5: Solve for x
    x = 284,482,490,161/379,198
  6. Step 6: Final answer
    x = 750,221.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.