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Finding the Third Proportional to 462,000 and 622,872

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Solution

The third proportional to 462,000 and 622,872 is: 839,760.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,000 : 622,872 = 622,872 : x
  2. Step 2: Convert to fraction form
    462,000/622,872 = 622,872/x
  3. Step 3: Cross multiply
    462,000x = 622,872 × 622,872
  4. Step 4: Simplify right side
    462,000x = 387,969,528,384
  5. Step 5: Solve for x
    x = 387,969,528,384/462,000
  6. Step 6: Final answer
    x = 839,760.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.