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Finding the Third Proportional to 579,108 and 880,469

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Solution

The third proportional to 579,108 and 880,469 is: 1,338,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,108 : 880,469 = 880,469 : x
  2. Step 2: Convert to fraction form
    579,108/880,469 = 880,469/x
  3. Step 3: Cross multiply
    579,108x = 880,469 × 880,469
  4. Step 4: Simplify right side
    579,108x = 775,225,659,961
  5. Step 5: Solve for x
    x = 775,225,659,961/579,108
  6. Step 6: Final answer
    x = 1,338,654.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.