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Finding the Third Proportional to 270,188 and 625,493

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Solution

The third proportional to 270,188 and 625,493 is: 1,448,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,188 : 625,493 = 625,493 : x
  2. Step 2: Convert to fraction form
    270,188/625,493 = 625,493/x
  3. Step 3: Cross multiply
    270,188x = 625,493 × 625,493
  4. Step 4: Simplify right side
    270,188x = 391,241,493,049
  5. Step 5: Solve for x
    x = 391,241,493,049/270,188
  6. Step 6: Final answer
    x = 1,448,034.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.