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Finding the Third Proportional to 281,406 and 591,972

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Solution

The third proportional to 281,406 and 591,972 is: 1,245,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,406 : 591,972 = 591,972 : x
  2. Step 2: Convert to fraction form
    281,406/591,972 = 591,972/x
  3. Step 3: Cross multiply
    281,406x = 591,972 × 591,972
  4. Step 4: Simplify right side
    281,406x = 350,430,848,784
  5. Step 5: Solve for x
    x = 350,430,848,784/281,406
  6. Step 6: Final answer
    x = 1,245,285.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.