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Finding the Third Proportional to 234,018 and 505,456

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Solution

The third proportional to 234,018 and 505,456 is: 1,091,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,018 : 505,456 = 505,456 : x
  2. Step 2: Convert to fraction form
    234,018/505,456 = 505,456/x
  3. Step 3: Cross multiply
    234,018x = 505,456 × 505,456
  4. Step 4: Simplify right side
    234,018x = 255,485,767,936
  5. Step 5: Solve for x
    x = 255,485,767,936/234,018
  6. Step 6: Final answer
    x = 1,091,735.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.