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Finding the Third Proportional to 281,414 and 421,632

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Solution

The third proportional to 281,414 and 421,632 is: 631,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,414 : 421,632 = 421,632 : x
  2. Step 2: Convert to fraction form
    281,414/421,632 = 421,632/x
  3. Step 3: Cross multiply
    281,414x = 421,632 × 421,632
  4. Step 4: Simplify right side
    281,414x = 177,773,543,424
  5. Step 5: Solve for x
    x = 177,773,543,424/281,414
  6. Step 6: Final answer
    x = 631,715.35

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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.