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Finding the Third Proportional to 547,183.69 and 874,140.19

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Solution

The third proportional to 547,183.69 and 874,140.19 is: 1,396,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,183.69 : 874,140.19 = 874,140.19 : x
  2. Step 2: Convert to fraction form
    547,183.69/874,140.19 = 874,140.19/x
  3. Step 3: Cross multiply
    547,183.69x = 874,140.19 × 874,140.19
  4. Step 4: Simplify right side
    547,183.69x = 764,121,067,402.54
  5. Step 5: Solve for x
    x = 764,121,067,402.54/547,183.69
  6. Step 6: Final answer
    x = 1,396,461.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.