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Finding the Third Proportional to 238,470 and 523,956

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Solution

The third proportional to 238,470 and 523,956 is: 1,151,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,470 : 523,956 = 523,956 : x
  2. Step 2: Convert to fraction form
    238,470/523,956 = 523,956/x
  3. Step 3: Cross multiply
    238,470x = 523,956 × 523,956
  4. Step 4: Simplify right side
    238,470x = 274,529,889,936
  5. Step 5: Solve for x
    x = 274,529,889,936/238,470
  6. Step 6: Final answer
    x = 1,151,213.53

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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.