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Finding the Third Proportional to 380,077.88 and 826,310.81

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Solution

The third proportional to 380,077.88 and 826,310.81 is: 1,796,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,077.88 : 826,310.81 = 826,310.81 : x
  2. Step 2: Convert to fraction form
    380,077.88/826,310.81 = 826,310.81/x
  3. Step 3: Cross multiply
    380,077.88x = 826,310.81 × 826,310.81
  4. Step 4: Simplify right side
    380,077.88x = 682,789,558,854.41
  5. Step 5: Solve for x
    x = 682,789,558,854.41/380,077.88
  6. Step 6: Final answer
    x = 1,796,446.48

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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.