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Finding the Third Proportional to 384,853.50 and 825,744

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Solution

The third proportional to 384,853.50 and 825,744 is: 1,771,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,853.50 : 825,744 = 825,744 : x
  2. Step 2: Convert to fraction form
    384,853.50/825,744 = 825,744/x
  3. Step 3: Cross multiply
    384,853.50x = 825,744 × 825,744
  4. Step 4: Simplify right side
    384,853.50x = 681,853,153,536
  5. Step 5: Solve for x
    x = 681,853,153,536/384,853.50
  6. Step 6: Final answer
    x = 1,771,721.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.