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Finding the Third Proportional to 676.32 and 1,477.62

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Solution

The third proportional to 676.32 and 1,477.62 is: 3,228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.32 : 1,477.62 = 1,477.62 : x
  2. Step 2: Convert to fraction form
    676.32/1,477.62 = 1,477.62/x
  3. Step 3: Cross multiply
    676.32x = 1,477.62 × 1,477.62
  4. Step 4: Simplify right side
    676.32x = 2,183,352.55
  5. Step 5: Solve for x
    x = 2,183,352.55/676.32
  6. Step 6: Final answer
    x = 3,228.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.