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Finding the Third Proportional to 629,478 and 998,277

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Solution

The third proportional to 629,478 and 998,277 is: 1,583,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,478 : 998,277 = 998,277 : x
  2. Step 2: Convert to fraction form
    629,478/998,277 = 998,277/x
  3. Step 3: Cross multiply
    629,478x = 998,277 × 998,277
  4. Step 4: Simplify right side
    629,478x = 996,556,968,729
  5. Step 5: Solve for x
    x = 996,556,968,729/629,478
  6. Step 6: Final answer
    x = 1,583,148.21

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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.