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Finding the Third Proportional to 366.64 and 771.71

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Solution

The third proportional to 366.64 and 771.71 is: 1,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.64 : 771.71 = 771.71 : x
  2. Step 2: Convert to fraction form
    366.64/771.71 = 771.71/x
  3. Step 3: Cross multiply
    366.64x = 771.71 × 771.71
  4. Step 4: Simplify right side
    366.64x = 595,543.80
  5. Step 5: Solve for x
    x = 595,543.80/366.64
  6. Step 6: Final answer
    x = 1,624.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.