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Finding the Third Proportional to 350 and 490

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Solution

The third proportional to 350 and 490 is: 686

Step by Step Solution

  1. Step 1: Write the proportion equation
    350 : 490 = 490 : x
  2. Step 2: Convert to fraction form
    350/490 = 490/x
  3. Step 3: Cross multiply
    350x = 490 × 490
  4. Step 4: Simplify right side
    350x = 240,100
  5. Step 5: Solve for x
    x = 240,100/350
  6. Step 6: Final answer
    x = 686

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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.