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Finding the Third Proportional to 238,639.50 and 519,885

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Solution

The third proportional to 238,639.50 and 519,885 is: 1,132,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,639.50 : 519,885 = 519,885 : x
  2. Step 2: Convert to fraction form
    238,639.50/519,885 = 519,885/x
  3. Step 3: Cross multiply
    238,639.50x = 519,885 × 519,885
  4. Step 4: Simplify right side
    238,639.50x = 270,280,413,225
  5. Step 5: Solve for x
    x = 270,280,413,225/238,639.50
  6. Step 6: Final answer
    x = 1,132,588.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.