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Finding the Third Proportional to 362,976.50 and 833,137

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Solution

The third proportional to 362,976.50 and 833,137 is: 1,912,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,976.50 : 833,137 = 833,137 : x
  2. Step 2: Convert to fraction form
    362,976.50/833,137 = 833,137/x
  3. Step 3: Cross multiply
    362,976.50x = 833,137 × 833,137
  4. Step 4: Simplify right side
    362,976.50x = 694,117,260,769
  5. Step 5: Solve for x
    x = 694,117,260,769/362,976.50
  6. Step 6: Final answer
    x = 1,912,292.56

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.