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Finding the Third Proportional to 322,950.66 and 754,318.69

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Solution

The third proportional to 322,950.66 and 754,318.69 is: 1,761,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,950.66 : 754,318.69 = 754,318.69 : x
  2. Step 2: Convert to fraction form
    322,950.66/754,318.69 = 754,318.69/x
  3. Step 3: Cross multiply
    322,950.66x = 754,318.69 × 754,318.69
  4. Step 4: Simplify right side
    322,950.66x = 568,996,682,311.72
  5. Step 5: Solve for x
    x = 568,996,682,311.72/322,950.66
  6. Step 6: Final answer
    x = 1,761,868.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.