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Finding the Third Proportional to 367.13 and 772.31

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Solution

The third proportional to 367.13 and 772.31 is: 1,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.13 : 772.31 = 772.31 : x
  2. Step 2: Convert to fraction form
    367.13/772.31 = 772.31/x
  3. Step 3: Cross multiply
    367.13x = 772.31 × 772.31
  4. Step 4: Simplify right side
    367.13x = 596,466.60
  5. Step 5: Solve for x
    x = 596,466.60/367.13
  6. Step 6: Final answer
    x = 1,624.70

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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.