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Finding the Third Proportional to 286,344 and 629,328

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Solution

The third proportional to 286,344 and 629,328 is: 1,383,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,344 : 629,328 = 629,328 : x
  2. Step 2: Convert to fraction form
    286,344/629,328 = 629,328/x
  3. Step 3: Cross multiply
    286,344x = 629,328 × 629,328
  4. Step 4: Simplify right side
    286,344x = 396,053,731,584
  5. Step 5: Solve for x
    x = 396,053,731,584/286,344
  6. Step 6: Final answer
    x = 1,383,139.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.