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Finding the Third Proportional to 629,632.13 and 998,496.56

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Solution

The third proportional to 629,632.13 and 998,496.56 is: 1,583,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,632.13 : 998,496.56 = 998,496.56 : x
  2. Step 2: Convert to fraction form
    629,632.13/998,496.56 = 998,496.56/x
  3. Step 3: Cross multiply
    629,632.13x = 998,496.56 × 998,496.56
  4. Step 4: Simplify right side
    629,632.13x = 996,995,385,324.32
  5. Step 5: Solve for x
    x = 996,995,385,324.32/629,632.13
  6. Step 6: Final answer
    x = 1,583,456.98

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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.