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Finding the Third Proportional to 396,825 and 832,960.50

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Solution

The third proportional to 396,825 and 832,960.50 is: 1,748,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,825 : 832,960.50 = 832,960.50 : x
  2. Step 2: Convert to fraction form
    396,825/832,960.50 = 832,960.50/x
  3. Step 3: Cross multiply
    396,825x = 832,960.50 × 832,960.50
  4. Step 4: Simplify right side
    396,825x = 693,823,194,560.25
  5. Step 5: Solve for x
    x = 693,823,194,560.25/396,825
  6. Step 6: Final answer
    x = 1,748,436.20

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.