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Finding the Third Proportional to 422,592.75 and 996,582.38

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Solution

The third proportional to 422,592.75 and 996,582.38 is: 2,350,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,592.75 : 996,582.38 = 996,582.38 : x
  2. Step 2: Convert to fraction form
    422,592.75/996,582.38 = 996,582.38/x
  3. Step 3: Cross multiply
    422,592.75x = 996,582.38 × 996,582.38
  4. Step 4: Simplify right side
    422,592.75x = 993,176,430,160.64
  5. Step 5: Solve for x
    x = 993,176,430,160.64/422,592.75
  6. Step 6: Final answer
    x = 2,350,197.51

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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.