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Finding the Third Proportional to 290,436 and 636,760

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Solution

The third proportional to 290,436 and 636,760 is: 1,396,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,436 : 636,760 = 636,760 : x
  2. Step 2: Convert to fraction form
    290,436/636,760 = 636,760/x
  3. Step 3: Cross multiply
    290,436x = 636,760 × 636,760
  4. Step 4: Simplify right side
    290,436x = 405,463,297,600
  5. Step 5: Solve for x
    x = 405,463,297,600/290,436
  6. Step 6: Final answer
    x = 1,396,050.41

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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.