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Finding the Third Proportional to 414,382.50 and 623,117.06

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Solution

The third proportional to 414,382.50 and 623,117.06 is: 936,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,382.50 : 623,117.06 = 623,117.06 : x
  2. Step 2: Convert to fraction form
    414,382.50/623,117.06 = 623,117.06/x
  3. Step 3: Cross multiply
    414,382.50x = 623,117.06 × 623,117.06
  4. Step 4: Simplify right side
    414,382.50x = 388,274,873,578.63
  5. Step 5: Solve for x
    x = 388,274,873,578.63/414,382.50
  6. Step 6: Final answer
    x = 936,996.31

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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.