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Finding the Third Proportional to 380,062.13 and 825,835.50

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Solution

The third proportional to 380,062.13 and 825,835.50 is: 1,794,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,062.13 : 825,835.50 = 825,835.50 : x
  2. Step 2: Convert to fraction form
    380,062.13/825,835.50 = 825,835.50/x
  3. Step 3: Cross multiply
    380,062.13x = 825,835.50 × 825,835.50
  4. Step 4: Simplify right side
    380,062.13x = 682,004,273,060.25
  5. Step 5: Solve for x
    x = 682,004,273,060.25/380,062.13
  6. Step 6: Final answer
    x = 1,794,454.72

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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.