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Finding the Third Proportional to 281,702 and 422,472

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Solution

The third proportional to 281,702 and 422,472 is: 633,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,702 : 422,472 = 422,472 : x
  2. Step 2: Convert to fraction form
    281,702/422,472 = 422,472/x
  3. Step 3: Cross multiply
    281,702x = 422,472 × 422,472
  4. Step 4: Simplify right side
    281,702x = 178,482,590,784
  5. Step 5: Solve for x
    x = 178,482,590,784/281,702
  6. Step 6: Final answer
    x = 633,586.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.