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Finding the Third Proportional to 629,403 and 949,329

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Solution

The third proportional to 629,403 and 949,329 is: 1,431,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,403 : 949,329 = 949,329 : x
  2. Step 2: Convert to fraction form
    629,403/949,329 = 949,329/x
  3. Step 3: Cross multiply
    629,403x = 949,329 × 949,329
  4. Step 4: Simplify right side
    629,403x = 901,225,550,241
  5. Step 5: Solve for x
    x = 901,225,550,241/629,403
  6. Step 6: Final answer
    x = 1,431,873.62

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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.