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Finding the Third Proportional to 364.88 and 720.38

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Solution

The third proportional to 364.88 and 720.38 is: 1,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.88 : 720.38 = 720.38 : x
  2. Step 2: Convert to fraction form
    364.88/720.38 = 720.38/x
  3. Step 3: Cross multiply
    364.88x = 720.38 × 720.38
  4. Step 4: Simplify right side
    364.88x = 518,940.14
  5. Step 5: Solve for x
    x = 518,940.14/364.88
  6. Step 6: Final answer
    x = 1,422.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.