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Finding the Third Proportional to 270,644 and 587,392

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Solution

The third proportional to 270,644 and 587,392 is: 1,274,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,644 : 587,392 = 587,392 : x
  2. Step 2: Convert to fraction form
    270,644/587,392 = 587,392/x
  3. Step 3: Cross multiply
    270,644x = 587,392 × 587,392
  4. Step 4: Simplify right side
    270,644x = 345,029,361,664
  5. Step 5: Solve for x
    x = 345,029,361,664/270,644
  6. Step 6: Final answer
    x = 1,274,845.78

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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.