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Finding the Third Proportional to 629,466 and 998,259

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Solution

The third proportional to 629,466 and 998,259 is: 1,583,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,466 : 998,259 = 998,259 : x
  2. Step 2: Convert to fraction form
    629,466/998,259 = 998,259/x
  3. Step 3: Cross multiply
    629,466x = 998,259 × 998,259
  4. Step 4: Simplify right side
    629,466x = 996,521,031,081
  5. Step 5: Solve for x
    x = 996,521,031,081/629,466
  6. Step 6: Final answer
    x = 1,583,121.30

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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.