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Finding the Third Proportional to 234,962 and 352,515

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Solution

The third proportional to 234,962 and 352,515 is: 528,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,962 : 352,515 = 352,515 : x
  2. Step 2: Convert to fraction form
    234,962/352,515 = 352,515/x
  3. Step 3: Cross multiply
    234,962x = 352,515 × 352,515
  4. Step 4: Simplify right side
    234,962x = 124,266,825,225
  5. Step 5: Solve for x
    x = 124,266,825,225/234,962
  6. Step 6: Final answer
    x = 528,880.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.