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Finding the Third Proportional to 358,824 and 845,849

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Solution

The third proportional to 358,824 and 845,849 is: 1,993,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,824 : 845,849 = 845,849 : x
  2. Step 2: Convert to fraction form
    358,824/845,849 = 845,849/x
  3. Step 3: Cross multiply
    358,824x = 845,849 × 845,849
  4. Step 4: Simplify right side
    358,824x = 715,460,530,801
  5. Step 5: Solve for x
    x = 715,460,530,801/358,824
  6. Step 6: Final answer
    x = 1,993,903.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.