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Finding the Third Proportional to 629,397.75 and 949,322.25

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Solution

The third proportional to 629,397.75 and 949,322.25 is: 1,431,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,397.75 : 949,322.25 = 949,322.25 : x
  2. Step 2: Convert to fraction form
    629,397.75/949,322.25 = 949,322.25/x
  3. Step 3: Cross multiply
    629,397.75x = 949,322.25 × 949,322.25
  4. Step 4: Simplify right side
    629,397.75x = 901,212,734,345.06
  5. Step 5: Solve for x
    x = 901,212,734,345.06/629,397.75
  6. Step 6: Final answer
    x = 1,431,865.20

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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.