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Finding the Third Proportional to 396,050 and 841,185

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Solution

The third proportional to 396,050 and 841,185 is: 1,786,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,050 : 841,185 = 841,185 : x
  2. Step 2: Convert to fraction form
    396,050/841,185 = 841,185/x
  3. Step 3: Cross multiply
    396,050x = 841,185 × 841,185
  4. Step 4: Simplify right side
    396,050x = 707,592,204,225
  5. Step 5: Solve for x
    x = 707,592,204,225/396,050
  6. Step 6: Final answer
    x = 1,786,623.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.