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Finding the Third Proportional to 302,698 and 636,765

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Solution

The third proportional to 302,698 and 636,765 is: 1,339,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,698 : 636,765 = 636,765 : x
  2. Step 2: Convert to fraction form
    302,698/636,765 = 636,765/x
  3. Step 3: Cross multiply
    302,698x = 636,765 × 636,765
  4. Step 4: Simplify right side
    302,698x = 405,469,665,225
  5. Step 5: Solve for x
    x = 405,469,665,225/302,698
  6. Step 6: Final answer
    x = 1,339,518.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.