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Finding the Third Proportional to 297,180 and 579,469

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Solution

The third proportional to 297,180 and 579,469 is: 1,129,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,180 : 579,469 = 579,469 : x
  2. Step 2: Convert to fraction form
    297,180/579,469 = 579,469/x
  3. Step 3: Cross multiply
    297,180x = 579,469 × 579,469
  4. Step 4: Simplify right side
    297,180x = 335,784,321,961
  5. Step 5: Solve for x
    x = 335,784,321,961/297,180
  6. Step 6: Final answer
    x = 1,129,902.15

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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.