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Finding the Third Proportional to 268,245 and 548,791.50

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Solution

The third proportional to 268,245 and 548,791.50 is: 1,122,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,245 : 548,791.50 = 548,791.50 : x
  2. Step 2: Convert to fraction form
    268,245/548,791.50 = 548,791.50/x
  3. Step 3: Cross multiply
    268,245x = 548,791.50 × 548,791.50
  4. Step 4: Simplify right side
    268,245x = 301,172,110,472.25
  5. Step 5: Solve for x
    x = 301,172,110,472.25/268,245
  6. Step 6: Final answer
    x = 1,122,750.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.