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Finding the Third Proportional to 533,238.58 and 754,516.42

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Solution

The third proportional to 533,238.58 and 754,516.42 is: 1,067,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,238.58 : 754,516.42 = 754,516.42 : x
  2. Step 2: Convert to fraction form
    533,238.58/754,516.42 = 754,516.42/x
  3. Step 3: Cross multiply
    533,238.58x = 754,516.42 × 754,516.42
  4. Step 4: Simplify right side
    533,238.58x = 569,295,033,826.35
  5. Step 5: Solve for x
    x = 569,295,033,826.35/533,238.58
  6. Step 6: Final answer
    x = 1,067,617.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.