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Finding the Third Proportional to 270,094 and 580,218

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Solution

The third proportional to 270,094 and 580,218 is: 1,246,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,094 : 580,218 = 580,218 : x
  2. Step 2: Convert to fraction form
    270,094/580,218 = 580,218/x
  3. Step 3: Cross multiply
    270,094x = 580,218 × 580,218
  4. Step 4: Simplify right side
    270,094x = 336,652,927,524
  5. Step 5: Solve for x
    x = 336,652,927,524/270,094
  6. Step 6: Final answer
    x = 1,246,428.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.