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Finding the Third Proportional to 270,780 and 582,293

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Solution

The third proportional to 270,780 and 582,293 is: 1,252,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,780 : 582,293 = 582,293 : x
  2. Step 2: Convert to fraction form
    270,780/582,293 = 582,293/x
  3. Step 3: Cross multiply
    270,780x = 582,293 × 582,293
  4. Step 4: Simplify right side
    270,780x = 339,065,137,849
  5. Step 5: Solve for x
    x = 339,065,137,849/270,780
  6. Step 6: Final answer
    x = 1,252,179.40

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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.