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Finding the Third Proportional to 452,180.25 and 622,905.75

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Solution

The third proportional to 452,180.25 and 622,905.75 is: 858,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,180.25 : 622,905.75 = 622,905.75 : x
  2. Step 2: Convert to fraction form
    452,180.25/622,905.75 = 622,905.75/x
  3. Step 3: Cross multiply
    452,180.25x = 622,905.75 × 622,905.75
  4. Step 4: Simplify right side
    452,180.25x = 388,011,573,383.06
  5. Step 5: Solve for x
    x = 388,011,573,383.06/452,180.25
  6. Step 6: Final answer
    x = 858,090.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.