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Finding the Third Proportional to 579,105 and 880,464.75

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Solution

The third proportional to 579,105 and 880,464.75 is: 1,338,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,105 : 880,464.75 = 880,464.75 : x
  2. Step 2: Convert to fraction form
    579,105/880,464.75 = 880,464.75/x
  3. Step 3: Cross multiply
    579,105x = 880,464.75 × 880,464.75
  4. Step 4: Simplify right side
    579,105x = 775,218,175,992.56
  5. Step 5: Solve for x
    x = 775,218,175,992.56/579,105
  6. Step 6: Final answer
    x = 1,338,648.74

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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.