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Finding the Third Proportional to 241,720 and 523,616

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Solution

The third proportional to 241,720 and 523,616 is: 1,134,261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,720 : 523,616 = 523,616 : x
  2. Step 2: Convert to fraction form
    241,720/523,616 = 523,616/x
  3. Step 3: Cross multiply
    241,720x = 523,616 × 523,616
  4. Step 4: Simplify right side
    241,720x = 274,173,715,456
  5. Step 5: Solve for x
    x = 274,173,715,456/241,720
  6. Step 6: Final answer
    x = 1,134,261.61

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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.