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Finding the Third Proportional to 383,548.50 and 825,963.75

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Solution

The third proportional to 383,548.50 and 825,963.75 is: 1,778,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,548.50 : 825,963.75 = 825,963.75 : x
  2. Step 2: Convert to fraction form
    383,548.50/825,963.75 = 825,963.75/x
  3. Step 3: Cross multiply
    383,548.50x = 825,963.75 × 825,963.75
  4. Step 4: Simplify right side
    383,548.50x = 682,216,116,314.06
  5. Step 5: Solve for x
    x = 682,216,116,314.06/383,548.50
  6. Step 6: Final answer
    x = 1,778,695.83

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Why These Related Problems?

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