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Finding the Third Proportional to 263,988 and 622,566

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Solution

The third proportional to 263,988 and 622,566 is: 1,468,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,988 : 622,566 = 622,566 : x
  2. Step 2: Convert to fraction form
    263,988/622,566 = 622,566/x
  3. Step 3: Cross multiply
    263,988x = 622,566 × 622,566
  4. Step 4: Simplify right side
    263,988x = 387,588,424,356
  5. Step 5: Solve for x
    x = 387,588,424,356/263,988
  6. Step 6: Final answer
    x = 1,468,204.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.