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Finding the Third Proportional to 629,406 and 949,335

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Solution

The third proportional to 629,406 and 949,335 is: 1,431,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,406 : 949,335 = 949,335 : x
  2. Step 2: Convert to fraction form
    629,406/949,335 = 949,335/x
  3. Step 3: Cross multiply
    629,406x = 949,335 × 949,335
  4. Step 4: Simplify right side
    629,406x = 901,236,942,225
  5. Step 5: Solve for x
    x = 901,236,942,225/629,406
  6. Step 6: Final answer
    x = 1,431,884.89

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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.