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Finding the Third Proportional to 578.81 and 1,256.34

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Solution

The third proportional to 578.81 and 1,256.34 is: 2,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.81 : 1,256.34 = 1,256.34 : x
  2. Step 2: Convert to fraction form
    578.81/1,256.34 = 1,256.34/x
  3. Step 3: Cross multiply
    578.81x = 1,256.34 × 1,256.34
  4. Step 4: Simplify right side
    578.81x = 1,578,399.62
  5. Step 5: Solve for x
    x = 1,578,399.62/578.81
  6. Step 6: Final answer
    x = 2,726.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.