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Finding the Third Proportional to 415,932 and 851,568

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Solution

The third proportional to 415,932 and 851,568 is: 1,743,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,932 : 851,568 = 851,568 : x
  2. Step 2: Convert to fraction form
    415,932/851,568 = 851,568/x
  3. Step 3: Cross multiply
    415,932x = 851,568 × 851,568
  4. Step 4: Simplify right side
    415,932x = 725,168,058,624
  5. Step 5: Solve for x
    x = 725,168,058,624/415,932
  6. Step 6: Final answer
    x = 1,743,477.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.