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Finding the Third Proportional to 379,080.56 and 833,977.13

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Solution

The third proportional to 379,080.56 and 833,977.13 is: 1,834,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,080.56 : 833,977.13 = 833,977.13 : x
  2. Step 2: Convert to fraction form
    379,080.56/833,977.13 = 833,977.13/x
  3. Step 3: Cross multiply
    379,080.56x = 833,977.13 × 833,977.13
  4. Step 4: Simplify right side
    379,080.56x = 695,517,845,023.27
  5. Step 5: Solve for x
    x = 695,517,845,023.27/379,080.56
  6. Step 6: Final answer
    x = 1,834,749.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.