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Finding the Third Proportional to 283,434.75 and 622,158.75

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Solution

The third proportional to 283,434.75 and 622,158.75 is: 1,365,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,434.75 : 622,158.75 = 622,158.75 : x
  2. Step 2: Convert to fraction form
    283,434.75/622,158.75 = 622,158.75/x
  3. Step 3: Cross multiply
    283,434.75x = 622,158.75 × 622,158.75
  4. Step 4: Simplify right side
    283,434.75x = 387,081,510,201.56
  5. Step 5: Solve for x
    x = 387,081,510,201.56/283,434.75
  6. Step 6: Final answer
    x = 1,365,681.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.