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Finding the Third Proportional to 241,608 and 523,536

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Solution

The third proportional to 241,608 and 523,536 is: 1,134,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,608 : 523,536 = 523,536 : x
  2. Step 2: Convert to fraction form
    241,608/523,536 = 523,536/x
  3. Step 3: Cross multiply
    241,608x = 523,536 × 523,536
  4. Step 4: Simplify right side
    241,608x = 274,089,943,296
  5. Step 5: Solve for x
    x = 274,089,943,296/241,608
  6. Step 6: Final answer
    x = 1,134,440.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.