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Finding the Third Proportional to 238,845 and 523,617

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Solution

The third proportional to 238,845 and 523,617 is: 1,147,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,845 : 523,617 = 523,617 : x
  2. Step 2: Convert to fraction form
    238,845/523,617 = 523,617/x
  3. Step 3: Cross multiply
    238,845x = 523,617 × 523,617
  4. Step 4: Simplify right side
    238,845x = 274,174,762,689
  5. Step 5: Solve for x
    x = 274,174,762,689/238,845
  6. Step 6: Final answer
    x = 1,147,919.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.