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Finding the Third Proportional to 290,736 and 636,768

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Solution

The third proportional to 290,736 and 636,768 is: 1,394,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,736 : 636,768 = 636,768 : x
  2. Step 2: Convert to fraction form
    290,736/636,768 = 636,768/x
  3. Step 3: Cross multiply
    290,736x = 636,768 × 636,768
  4. Step 4: Simplify right side
    290,736x = 405,473,485,824
  5. Step 5: Solve for x
    x = 405,473,485,824/290,736
  6. Step 6: Final answer
    x = 1,394,644.92

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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.