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Finding the Third Proportional to 304.13 and 721.31

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Solution

The third proportional to 304.13 and 721.31 is: 1,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.13 : 721.31 = 721.31 : x
  2. Step 2: Convert to fraction form
    304.13/721.31 = 721.31/x
  3. Step 3: Cross multiply
    304.13x = 721.31 × 721.31
  4. Step 4: Simplify right side
    304.13x = 520,291.72
  5. Step 5: Solve for x
    x = 520,291.72/304.13
  6. Step 6: Final answer
    x = 1,710.78

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.