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Finding the Third Proportional to 401,944.50 and 622,593

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Solution

The third proportional to 401,944.50 and 622,593 is: 964,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,944.50 : 622,593 = 622,593 : x
  2. Step 2: Convert to fraction form
    401,944.50/622,593 = 622,593/x
  3. Step 3: Cross multiply
    401,944.50x = 622,593 × 622,593
  4. Step 4: Simplify right side
    401,944.50x = 387,622,043,649
  5. Step 5: Solve for x
    x = 387,622,043,649/401,944.50
  6. Step 6: Final answer
    x = 964,367.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.