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Finding the Third Proportional to 629,398.50 and 949,323

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Solution

The third proportional to 629,398.50 and 949,323 is: 1,431,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,398.50 : 949,323 = 949,323 : x
  2. Step 2: Convert to fraction form
    629,398.50/949,323 = 949,323/x
  3. Step 3: Cross multiply
    629,398.50x = 949,323 × 949,323
  4. Step 4: Simplify right side
    629,398.50x = 901,214,158,329
  5. Step 5: Solve for x
    x = 901,214,158,329/629,398.50
  6. Step 6: Final answer
    x = 1,431,865.75

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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.