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Finding the Third Proportional to 362,179.69 and 754,165.69

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Solution

The third proportional to 362,179.69 and 754,165.69 is: 1,570,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,179.69 : 754,165.69 = 754,165.69 : x
  2. Step 2: Convert to fraction form
    362,179.69/754,165.69 = 754,165.69/x
  3. Step 3: Cross multiply
    362,179.69x = 754,165.69 × 754,165.69
  4. Step 4: Simplify right side
    362,179.69x = 568,765,884,202.35
  5. Step 5: Solve for x
    x = 568,765,884,202.35/362,179.69
  6. Step 6: Final answer
    x = 1,570,396.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.