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Finding the Third Proportional to 421,944.75 and 923,998.50

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Solution

The third proportional to 421,944.75 and 923,998.50 is: 2,023,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,944.75 : 923,998.50 = 923,998.50 : x
  2. Step 2: Convert to fraction form
    421,944.75/923,998.50 = 923,998.50/x
  3. Step 3: Cross multiply
    421,944.75x = 923,998.50 × 923,998.50
  4. Step 4: Simplify right side
    421,944.75x = 853,773,228,002.25
  5. Step 5: Solve for x
    x = 853,773,228,002.25/421,944.75
  6. Step 6: Final answer
    x = 2,023,424.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.