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Finding the Third Proportional to 302,806 and 636,977

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Solution

The third proportional to 302,806 and 636,977 is: 1,339,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,806 : 636,977 = 636,977 : x
  2. Step 2: Convert to fraction form
    302,806/636,977 = 636,977/x
  3. Step 3: Cross multiply
    302,806x = 636,977 × 636,977
  4. Step 4: Simplify right side
    302,806x = 405,739,698,529
  5. Step 5: Solve for x
    x = 405,739,698,529/302,806
  6. Step 6: Final answer
    x = 1,339,932.82

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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.