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Finding the Third Proportional to 275,938 and 604,868

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Solution

The third proportional to 275,938 and 604,868 is: 1,325,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,938 : 604,868 = 604,868 : x
  2. Step 2: Convert to fraction form
    275,938/604,868 = 604,868/x
  3. Step 3: Cross multiply
    275,938x = 604,868 × 604,868
  4. Step 4: Simplify right side
    275,938x = 365,865,297,424
  5. Step 5: Solve for x
    x = 365,865,297,424/275,938
  6. Step 6: Final answer
    x = 1,325,896.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.