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Finding the Third Proportional to 384,744.38 and 835,201.13

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Solution

The third proportional to 384,744.38 and 835,201.13 is: 1,813,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,744.38 : 835,201.13 = 835,201.13 : x
  2. Step 2: Convert to fraction form
    384,744.38/835,201.13 = 835,201.13/x
  3. Step 3: Cross multiply
    384,744.38x = 835,201.13 × 835,201.13
  4. Step 4: Simplify right side
    384,744.38x = 697,560,919,201.27
  5. Step 5: Solve for x
    x = 697,560,919,201.27/384,744.38
  6. Step 6: Final answer
    x = 1,813,050.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.