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Finding the Third Proportional to 238,268.50 and 523,922

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Solution

The third proportional to 238,268.50 and 523,922 is: 1,152,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,268.50 : 523,922 = 523,922 : x
  2. Step 2: Convert to fraction form
    238,268.50/523,922 = 523,922/x
  3. Step 3: Cross multiply
    238,268.50x = 523,922 × 523,922
  4. Step 4: Simplify right side
    238,268.50x = 274,494,262,084
  5. Step 5: Solve for x
    x = 274,494,262,084/238,268.50
  6. Step 6: Final answer
    x = 1,152,037.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.