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Finding the Third Proportional to 352,476 and 494,799.75

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Solution

The third proportional to 352,476 and 494,799.75 is: 694,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,476 : 494,799.75 = 494,799.75 : x
  2. Step 2: Convert to fraction form
    352,476/494,799.75 = 494,799.75/x
  3. Step 3: Cross multiply
    352,476x = 494,799.75 × 494,799.75
  4. Step 4: Simplify right side
    352,476x = 244,826,792,600.06
  5. Step 5: Solve for x
    x = 244,826,792,600.06/352,476
  6. Step 6: Final answer
    x = 694,591.38

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.