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Finding the Third Proportional to 366,868.69 and 548,616.38

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Solution

The third proportional to 366,868.69 and 548,616.38 is: 820,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,868.69 : 548,616.38 = 548,616.38 : x
  2. Step 2: Convert to fraction form
    366,868.69/548,616.38 = 548,616.38/x
  3. Step 3: Cross multiply
    366,868.69x = 548,616.38 × 548,616.38
  4. Step 4: Simplify right side
    366,868.69x = 300,979,926,918.14
  5. Step 5: Solve for x
    x = 300,979,926,918.14/366,868.69
  6. Step 6: Final answer
    x = 820,402.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.