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Finding the Third Proportional to 629,404 and 949,328

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Solution

The third proportional to 629,404 and 949,328 is: 1,431,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,404 : 949,328 = 949,328 : x
  2. Step 2: Convert to fraction form
    629,404/949,328 = 949,328/x
  3. Step 3: Cross multiply
    629,404x = 949,328 × 949,328
  4. Step 4: Simplify right side
    629,404x = 901,223,651,584
  5. Step 5: Solve for x
    x = 901,223,651,584/629,404
  6. Step 6: Final answer
    x = 1,431,868.33

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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.