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Finding the Third Proportional to 396,977 and 845,160

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Solution

The third proportional to 396,977 and 845,160 is: 1,799,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,977 : 845,160 = 845,160 : x
  2. Step 2: Convert to fraction form
    396,977/845,160 = 845,160/x
  3. Step 3: Cross multiply
    396,977x = 845,160 × 845,160
  4. Step 4: Simplify right side
    396,977x = 714,295,425,600
  5. Step 5: Solve for x
    x = 714,295,425,600/396,977
  6. Step 6: Final answer
    x = 1,799,337.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.