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Finding the Third Proportional to 384,816.66 and 825,672.66

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Solution

The third proportional to 384,816.66 and 825,672.66 is: 1,771,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,816.66 : 825,672.66 = 825,672.66 : x
  2. Step 2: Convert to fraction form
    384,816.66/825,672.66 = 825,672.66/x
  3. Step 3: Cross multiply
    384,816.66x = 825,672.66 × 825,672.66
  4. Step 4: Simplify right side
    384,816.66x = 681,735,335,278.93
  5. Step 5: Solve for x
    x = 681,735,335,278.93/384,816.66
  6. Step 6: Final answer
    x = 1,771,584.79

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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.