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Finding the Third Proportional to 414,883.69 and 905,166.56

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Solution

The third proportional to 414,883.69 and 905,166.56 is: 1,974,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,883.69 : 905,166.56 = 905,166.56 : x
  2. Step 2: Convert to fraction form
    414,883.69/905,166.56 = 905,166.56/x
  3. Step 3: Cross multiply
    414,883.69x = 905,166.56 × 905,166.56
  4. Step 4: Simplify right side
    414,883.69x = 819,326,505,868.07
  5. Step 5: Solve for x
    x = 819,326,505,868.07/414,883.69
  6. Step 6: Final answer
    x = 1,974,834.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.