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Finding the Third Proportional to 408,574.13 and 949,446.56

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Solution

The third proportional to 408,574.13 and 949,446.56 is: 2,206,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,574.13 : 949,446.56 = 949,446.56 : x
  2. Step 2: Convert to fraction form
    408,574.13/949,446.56 = 949,446.56/x
  3. Step 3: Cross multiply
    408,574.13x = 949,446.56 × 949,446.56
  4. Step 4: Simplify right side
    408,574.13x = 901,448,775,043.07
  5. Step 5: Solve for x
    x = 901,448,775,043.07/408,574.13
  6. Step 6: Final answer
    x = 2,206,328.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.