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Finding the Third Proportional to 629,402 and 949,324

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Solution

The third proportional to 629,402 and 949,324 is: 1,431,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,402 : 949,324 = 949,324 : x
  2. Step 2: Convert to fraction form
    629,402/949,324 = 949,324/x
  3. Step 3: Cross multiply
    629,402x = 949,324 × 949,324
  4. Step 4: Simplify right side
    629,402x = 901,216,056,976
  5. Step 5: Solve for x
    x = 901,216,056,976/629,402
  6. Step 6: Final answer
    x = 1,431,860.81

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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.