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Finding the Third Proportional to 629,484 and 998,286

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Solution

The third proportional to 629,484 and 998,286 is: 1,583,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,484 : 998,286 = 998,286 : x
  2. Step 2: Convert to fraction form
    629,484/998,286 = 998,286/x
  3. Step 3: Cross multiply
    629,484x = 998,286 × 998,286
  4. Step 4: Simplify right side
    629,484x = 996,574,937,796
  5. Step 5: Solve for x
    x = 996,574,937,796/629,484
  6. Step 6: Final answer
    x = 1,583,161.67

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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.