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Finding the Third Proportional to 270,857 and 583,339

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Solution

The third proportional to 270,857 and 583,339 is: 1,256,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,857 : 583,339 = 583,339 : x
  2. Step 2: Convert to fraction form
    270,857/583,339 = 583,339/x
  3. Step 3: Cross multiply
    270,857x = 583,339 × 583,339
  4. Step 4: Simplify right side
    270,857x = 340,284,388,921
  5. Step 5: Solve for x
    x = 340,284,388,921/270,857
  6. Step 6: Final answer
    x = 1,256,324.88

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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.