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Finding the Third Proportional to 629,476 and 998,274

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Solution

The third proportional to 629,476 and 998,274 is: 1,583,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,476 : 998,274 = 998,274 : x
  2. Step 2: Convert to fraction form
    629,476/998,274 = 998,274/x
  3. Step 3: Cross multiply
    629,476x = 998,274 × 998,274
  4. Step 4: Simplify right side
    629,476x = 996,550,979,076
  5. Step 5: Solve for x
    x = 996,550,979,076/629,476
  6. Step 6: Final answer
    x = 1,583,143.72

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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.