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Finding the Third Proportional to 348,368 and 521,198

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Solution

The third proportional to 348,368 and 521,198 is: 779,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,368 : 521,198 = 521,198 : x
  2. Step 2: Convert to fraction form
    348,368/521,198 = 521,198/x
  3. Step 3: Cross multiply
    348,368x = 521,198 × 521,198
  4. Step 4: Simplify right side
    348,368x = 271,647,355,204
  5. Step 5: Solve for x
    x = 271,647,355,204/348,368
  6. Step 6: Final answer
    x = 779,771.26

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