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Finding the Third Proportional to 414,163.13 and 887,329.69

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Solution

The third proportional to 414,163.13 and 887,329.69 is: 1,901,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,163.13 : 887,329.69 = 887,329.69 : x
  2. Step 2: Convert to fraction form
    414,163.13/887,329.69 = 887,329.69/x
  3. Step 3: Cross multiply
    414,163.13x = 887,329.69 × 887,329.69
  4. Step 4: Simplify right side
    414,163.13x = 787,353,974,318.85
  5. Step 5: Solve for x
    x = 787,353,974,318.85/414,163.13
  6. Step 6: Final answer
    x = 1,901,072.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.