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Finding the Third Proportional to 281,112 and 446,694

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Solution

The third proportional to 281,112 and 446,694 is: 709,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,112 : 446,694 = 446,694 : x
  2. Step 2: Convert to fraction form
    281,112/446,694 = 446,694/x
  3. Step 3: Cross multiply
    281,112x = 446,694 × 446,694
  4. Step 4: Simplify right side
    281,112x = 199,535,529,636
  5. Step 5: Solve for x
    x = 199,535,529,636/281,112
  6. Step 6: Final answer
    x = 709,807.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.