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Finding the Third Proportional to 322,866 and 637,452

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Solution

The third proportional to 322,866 and 637,452 is: 1,258,556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,866 : 637,452 = 637,452 : x
  2. Step 2: Convert to fraction form
    322,866/637,452 = 637,452/x
  3. Step 3: Cross multiply
    322,866x = 637,452 × 637,452
  4. Step 4: Simplify right side
    322,866x = 406,345,052,304
  5. Step 5: Solve for x
    x = 406,345,052,304/322,866
  6. Step 6: Final answer
    x = 1,258,556.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.