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Finding the Third Proportional to 238,266 and 523,916

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Solution

The third proportional to 238,266 and 523,916 is: 1,152,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,266 : 523,916 = 523,916 : x
  2. Step 2: Convert to fraction form
    238,266/523,916 = 523,916/x
  3. Step 3: Cross multiply
    238,266x = 523,916 × 523,916
  4. Step 4: Simplify right side
    238,266x = 274,487,975,056
  5. Step 5: Solve for x
    x = 274,487,975,056/238,266
  6. Step 6: Final answer
    x = 1,152,023.26

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Why These Related Problems?

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