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Finding the Third Proportional to 456.26 and 1,076.57

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Solution

The third proportional to 456.26 and 1,076.57 is: 2,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.26 : 1,076.57 = 1,076.57 : x
  2. Step 2: Convert to fraction form
    456.26/1,076.57 = 1,076.57/x
  3. Step 3: Cross multiply
    456.26x = 1,076.57 × 1,076.57
  4. Step 4: Simplify right side
    456.26x = 1,159,007.84
  5. Step 5: Solve for x
    x = 1,159,007.84/456.26
  6. Step 6: Final answer
    x = 2,540.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.