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Finding the Third Proportional to 629,460 and 998,250

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Solution

The third proportional to 629,460 and 998,250 is: 1,583,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,460 : 998,250 = 998,250 : x
  2. Step 2: Convert to fraction form
    629,460/998,250 = 998,250/x
  3. Step 3: Cross multiply
    629,460x = 998,250 × 998,250
  4. Step 4: Simplify right side
    629,460x = 996,503,062,500
  5. Step 5: Solve for x
    x = 996,503,062,500/629,460
  6. Step 6: Final answer
    x = 1,583,107.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.