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Finding the Third Proportional to 431,049.38 and 936,713.25

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Solution

The third proportional to 431,049.38 and 936,713.25 is: 2,035,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,049.38 : 936,713.25 = 936,713.25 : x
  2. Step 2: Convert to fraction form
    431,049.38/936,713.25 = 936,713.25/x
  3. Step 3: Cross multiply
    431,049.38x = 936,713.25 × 936,713.25
  4. Step 4: Simplify right side
    431,049.38x = 877,431,712,725.56
  5. Step 5: Solve for x
    x = 877,431,712,725.56/431,049.38
  6. Step 6: Final answer
    x = 2,035,571.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.