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Finding the Third Proportional to 122,777 and 264,447

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Solution

The third proportional to 122,777 and 264,447 is: 569,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,777 : 264,447 = 264,447 : x
  2. Step 2: Convert to fraction form
    122,777/264,447 = 264,447/x
  3. Step 3: Cross multiply
    122,777x = 264,447 × 264,447
  4. Step 4: Simplify right side
    122,777x = 69,932,215,809
  5. Step 5: Solve for x
    x = 69,932,215,809/122,777
  6. Step 6: Final answer
    x = 569,587.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.