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Finding the Third Proportional to 270,831 and 586,863

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Solution

The third proportional to 270,831 and 586,863 is: 1,271,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,831 : 586,863 = 586,863 : x
  2. Step 2: Convert to fraction form
    270,831/586,863 = 586,863/x
  3. Step 3: Cross multiply
    270,831x = 586,863 × 586,863
  4. Step 4: Simplify right side
    270,831x = 344,408,180,769
  5. Step 5: Solve for x
    x = 344,408,180,769/270,831
  6. Step 6: Final answer
    x = 1,271,671.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.