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Finding the Third Proportional to 435 and 635

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Solution

The third proportional to 435 and 635 is: 926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    435 : 635 = 635 : x
  2. Step 2: Convert to fraction form
    435/635 = 635/x
  3. Step 3: Cross multiply
    435x = 635 × 635
  4. Step 4: Simplify right side
    435x = 403,225
  5. Step 5: Solve for x
    x = 403,225/435
  6. Step 6: Final answer
    x = 926.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.