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Finding the Third Proportional to 414,039.94 and 623,133.84

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Solution

The third proportional to 414,039.94 and 623,133.84 is: 937,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,039.94 : 623,133.84 = 623,133.84 : x
  2. Step 2: Convert to fraction form
    414,039.94/623,133.84 = 623,133.84/x
  3. Step 3: Cross multiply
    414,039.94x = 623,133.84 × 623,133.84
  4. Step 4: Simplify right side
    414,039.94x = 388,295,787,226.65
  5. Step 5: Solve for x
    x = 388,295,787,226.65/414,039.94
  6. Step 6: Final answer
    x = 937,822.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.