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Finding the Third Proportional to 396,148 and 538,250

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Solution

The third proportional to 396,148 and 538,250 is: 731,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,148 : 538,250 = 538,250 : x
  2. Step 2: Convert to fraction form
    396,148/538,250 = 538,250/x
  3. Step 3: Cross multiply
    396,148x = 538,250 × 538,250
  4. Step 4: Simplify right side
    396,148x = 289,713,062,500
  5. Step 5: Solve for x
    x = 289,713,062,500/396,148
  6. Step 6: Final answer
    x = 731,325.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.