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Finding the Third Proportional to 238,842 and 523,611

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Solution

The third proportional to 238,842 and 523,611 is: 1,147,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,842 : 523,611 = 523,611 : x
  2. Step 2: Convert to fraction form
    238,842/523,611 = 523,611/x
  3. Step 3: Cross multiply
    238,842x = 523,611 × 523,611
  4. Step 4: Simplify right side
    238,842x = 274,168,479,321
  5. Step 5: Solve for x
    x = 274,168,479,321/238,842
  6. Step 6: Final answer
    x = 1,147,907.32

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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.