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Finding the Third Proportional to 348,408.84 and 490,639.78

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Solution

The third proportional to 348,408.84 and 490,639.78 is: 690,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,408.84 : 490,639.78 = 490,639.78 : x
  2. Step 2: Convert to fraction form
    348,408.84/490,639.78 = 490,639.78/x
  3. Step 3: Cross multiply
    348,408.84x = 490,639.78 × 490,639.78
  4. Step 4: Simplify right side
    348,408.84x = 240,727,394,945.05
  5. Step 5: Solve for x
    x = 240,727,394,945.05/348,408.84
  6. Step 6: Final answer
    x = 690,933.65

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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.