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Finding the Third Proportional to 632,903.63 and 949,426.31

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Solution

The third proportional to 632,903.63 and 949,426.31 is: 1,424,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,903.63 : 949,426.31 = 949,426.31 : x
  2. Step 2: Convert to fraction form
    632,903.63/949,426.31 = 949,426.31/x
  3. Step 3: Cross multiply
    632,903.63x = 949,426.31 × 949,426.31
  4. Step 4: Simplify right side
    632,903.63x = 901,410,322,867.35
  5. Step 5: Solve for x
    x = 901,410,322,867.35/632,903.63
  6. Step 6: Final answer
    x = 1,424,245.79

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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.