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Finding the Third Proportional to 629,390.25 and 949,309.88

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Solution

The third proportional to 629,390.25 and 949,309.88 is: 1,431,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,390.25 : 949,309.88 = 949,309.88 : x
  2. Step 2: Convert to fraction form
    629,390.25/949,309.88 = 949,309.88/x
  3. Step 3: Cross multiply
    629,390.25x = 949,309.88 × 949,309.88
  4. Step 4: Simplify right side
    629,390.25x = 901,189,238,772.52
  5. Step 5: Solve for x
    x = 901,189,238,772.52/629,390.25
  6. Step 6: Final answer
    x = 1,431,844.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.