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Finding the Third Proportional to 297,852 and 580,660

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Solution

The third proportional to 297,852 and 580,660 is: 1,131,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,852 : 580,660 = 580,660 : x
  2. Step 2: Convert to fraction form
    297,852/580,660 = 580,660/x
  3. Step 3: Cross multiply
    297,852x = 580,660 × 580,660
  4. Step 4: Simplify right side
    297,852x = 337,166,035,600
  5. Step 5: Solve for x
    x = 337,166,035,600/297,852
  6. Step 6: Final answer
    x = 1,131,991.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.