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Finding the Third Proportional to 302.37 and 662.36

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Solution

The third proportional to 302.37 and 662.36 is: 1,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.37 : 662.36 = 662.36 : x
  2. Step 2: Convert to fraction form
    302.37/662.36 = 662.36/x
  3. Step 3: Cross multiply
    302.37x = 662.36 × 662.36
  4. Step 4: Simplify right side
    302.37x = 438,716.71
  5. Step 5: Solve for x
    x = 438,716.71/302.37
  6. Step 6: Final answer
    x = 1,450.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.