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Finding the Third Proportional to 437,521.50 and 956,022.75

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Solution

The third proportional to 437,521.50 and 956,022.75 is: 2,088,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,521.50 : 956,022.75 = 956,022.75 : x
  2. Step 2: Convert to fraction form
    437,521.50/956,022.75 = 956,022.75/x
  3. Step 3: Cross multiply
    437,521.50x = 956,022.75 × 956,022.75
  4. Step 4: Simplify right side
    437,521.50x = 913,979,498,517.56
  5. Step 5: Solve for x
    x = 913,979,498,517.56/437,521.50
  6. Step 6: Final answer
    x = 2,088,993.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.