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Finding the Third Proportional to 283,434 and 622,157.25

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Solution

The third proportional to 283,434 and 622,157.25 is: 1,365,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,434 : 622,157.25 = 622,157.25 : x
  2. Step 2: Convert to fraction form
    283,434/622,157.25 = 622,157.25/x
  3. Step 3: Cross multiply
    283,434x = 622,157.25 × 622,157.25
  4. Step 4: Simplify right side
    283,434x = 387,079,643,727.56
  5. Step 5: Solve for x
    x = 387,079,643,727.56/283,434
  6. Step 6: Final answer
    x = 1,365,678.23

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Why These Related Problems?

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