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Finding the Third Proportional to 268,368.19 and 548,388.38

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Solution

The third proportional to 268,368.19 and 548,388.38 is: 1,120,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,368.19 : 548,388.38 = 548,388.38 : x
  2. Step 2: Convert to fraction form
    268,368.19/548,388.38 = 548,388.38/x
  3. Step 3: Cross multiply
    268,368.19x = 548,388.38 × 548,388.38
  4. Step 4: Simplify right side
    268,368.19x = 300,729,809,835.14
  5. Step 5: Solve for x
    x = 300,729,809,835.14/268,368.19
  6. Step 6: Final answer
    x = 1,120,586.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.