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Finding the Third Proportional to 485.91 and 730.27

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Solution

The third proportional to 485.91 and 730.27 is: 1,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.91 : 730.27 = 730.27 : x
  2. Step 2: Convert to fraction form
    485.91/730.27 = 730.27/x
  3. Step 3: Cross multiply
    485.91x = 730.27 × 730.27
  4. Step 4: Simplify right side
    485.91x = 533,287.88
  5. Step 5: Solve for x
    x = 533,287.88/485.91
  6. Step 6: Final answer
    x = 1,097.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.