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Finding the Third Proportional to 281,745 and 576,450

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Solution

The third proportional to 281,745 and 576,450 is: 1,179,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,745 : 576,450 = 576,450 : x
  2. Step 2: Convert to fraction form
    281,745/576,450 = 576,450/x
  3. Step 3: Cross multiply
    281,745x = 576,450 × 576,450
  4. Step 4: Simplify right side
    281,745x = 332,294,602,500
  5. Step 5: Solve for x
    x = 332,294,602,500/281,745
  6. Step 6: Final answer
    x = 1,179,416.15

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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.