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Finding the Third Proportional to 538,450 and 833,635

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Solution

The third proportional to 538,450 and 833,635 is: 1,290,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,450 : 833,635 = 833,635 : x
  2. Step 2: Convert to fraction form
    538,450/833,635 = 833,635/x
  3. Step 3: Cross multiply
    538,450x = 833,635 × 833,635
  4. Step 4: Simplify right side
    538,450x = 694,947,313,225
  5. Step 5: Solve for x
    x = 694,947,313,225/538,450
  6. Step 6: Final answer
    x = 1,290,644.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.