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Finding the Third Proportional to 401,577.75 and 622,755.84

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Solution

The third proportional to 401,577.75 and 622,755.84 is: 965,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,577.75 : 622,755.84 = 622,755.84 : x
  2. Step 2: Convert to fraction form
    401,577.75/622,755.84 = 622,755.84/x
  3. Step 3: Cross multiply
    401,577.75x = 622,755.84 × 622,755.84
  4. Step 4: Simplify right side
    401,577.75x = 387,824,840,924.77
  5. Step 5: Solve for x
    x = 387,824,840,924.77/401,577.75
  6. Step 6: Final answer
    x = 965,752.81

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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.