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Finding the Third Proportional to 268,416 and 567,936

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Solution

The third proportional to 268,416 and 567,936 is: 1,201,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,416 : 567,936 = 567,936 : x
  2. Step 2: Convert to fraction form
    268,416/567,936 = 567,936/x
  3. Step 3: Cross multiply
    268,416x = 567,936 × 567,936
  4. Step 4: Simplify right side
    268,416x = 322,551,300,096
  5. Step 5: Solve for x
    x = 322,551,300,096/268,416
  6. Step 6: Final answer
    x = 1,201,684.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.