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Finding the Third Proportional to 629,448 and 998,232

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Solution

The third proportional to 629,448 and 998,232 is: 1,583,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,448 : 998,232 = 998,232 : x
  2. Step 2: Convert to fraction form
    629,448/998,232 = 998,232/x
  3. Step 3: Cross multiply
    629,448x = 998,232 × 998,232
  4. Step 4: Simplify right side
    629,448x = 996,467,125,824
  5. Step 5: Solve for x
    x = 996,467,125,824/629,448
  6. Step 6: Final answer
    x = 1,583,080.93

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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.