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Finding the Third Proportional to 379,652.06 and 825,732.56

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Solution

The third proportional to 379,652.06 and 825,732.56 is: 1,795,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,652.06 : 825,732.56 = 825,732.56 : x
  2. Step 2: Convert to fraction form
    379,652.06/825,732.56 = 825,732.56/x
  3. Step 3: Cross multiply
    379,652.06x = 825,732.56 × 825,732.56
  4. Step 4: Simplify right side
    379,652.06x = 681,834,264,772.82
  5. Step 5: Solve for x
    x = 681,834,264,772.82/379,652.06
  6. Step 6: Final answer
    x = 1,795,945.11

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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.