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Finding the Third Proportional to 281,756 and 576,470

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Solution

The third proportional to 281,756 and 576,470 is: 1,179,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,756 : 576,470 = 576,470 : x
  2. Step 2: Convert to fraction form
    281,756/576,470 = 576,470/x
  3. Step 3: Cross multiply
    281,756x = 576,470 × 576,470
  4. Step 4: Simplify right side
    281,756x = 332,317,660,900
  5. Step 5: Solve for x
    x = 332,317,660,900/281,756
  6. Step 6: Final answer
    x = 1,179,451.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.