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Finding the Third Proportional to 302,734 and 636,836

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Solution

The third proportional to 302,734 and 636,836 is: 1,339,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,734 : 636,836 = 636,836 : x
  2. Step 2: Convert to fraction form
    302,734/636,836 = 636,836/x
  3. Step 3: Cross multiply
    302,734x = 636,836 × 636,836
  4. Step 4: Simplify right side
    302,734x = 405,560,090,896
  5. Step 5: Solve for x
    x = 405,560,090,896/302,734
  6. Step 6: Final answer
    x = 1,339,658.22

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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.