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Finding the Third Proportional to 629,454 and 998,241

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Solution

The third proportional to 629,454 and 998,241 is: 1,583,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,454 : 998,241 = 998,241 : x
  2. Step 2: Convert to fraction form
    629,454/998,241 = 998,241/x
  3. Step 3: Cross multiply
    629,454x = 998,241 × 998,241
  4. Step 4: Simplify right side
    629,454x = 996,485,094,081
  5. Step 5: Solve for x
    x = 996,485,094,081/629,454
  6. Step 6: Final answer
    x = 1,583,094.39

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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.