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Finding the Third Proportional to 422,041.50 and 996,279.75

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Solution

The third proportional to 422,041.50 and 996,279.75 is: 2,351,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,041.50 : 996,279.75 = 996,279.75 : x
  2. Step 2: Convert to fraction form
    422,041.50/996,279.75 = 996,279.75/x
  3. Step 3: Cross multiply
    422,041.50x = 996,279.75 × 996,279.75
  4. Step 4: Simplify right side
    422,041.50x = 992,573,340,260.06
  5. Step 5: Solve for x
    x = 992,573,340,260.06/422,041.50
  6. Step 6: Final answer
    x = 2,351,838.24

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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.