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Finding the Third Proportional to 422,960 and 622,740

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Solution

The third proportional to 422,960 and 622,740 is: 916,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,960 : 622,740 = 622,740 : x
  2. Step 2: Convert to fraction form
    422,960/622,740 = 622,740/x
  3. Step 3: Cross multiply
    422,960x = 622,740 × 622,740
  4. Step 4: Simplify right side
    422,960x = 387,805,107,600
  5. Step 5: Solve for x
    x = 387,805,107,600/422,960
  6. Step 6: Final answer
    x = 916,883.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.