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Finding the Third Proportional to 268,868.44 and 585,152.44

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Solution

The third proportional to 268,868.44 and 585,152.44 is: 1,273,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,868.44 : 585,152.44 = 585,152.44 : x
  2. Step 2: Convert to fraction form
    268,868.44/585,152.44 = 585,152.44/x
  3. Step 3: Cross multiply
    268,868.44x = 585,152.44 × 585,152.44
  4. Step 4: Simplify right side
    268,868.44x = 342,403,375,112.19
  5. Step 5: Solve for x
    x = 342,403,375,112.19/268,868.44
  6. Step 6: Final answer
    x = 1,273,497.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.