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Finding the Third Proportional to 662.63 and 721.13

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Solution

The third proportional to 662.63 and 721.13 is: 784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.63 : 721.13 = 721.13 : x
  2. Step 2: Convert to fraction form
    662.63/721.13 = 721.13/x
  3. Step 3: Cross multiply
    662.63x = 721.13 × 721.13
  4. Step 4: Simplify right side
    662.63x = 520,021.27
  5. Step 5: Solve for x
    x = 520,021.27/662.63
  6. Step 6: Final answer
    x = 784.79

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.