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Finding the Third Proportional to 559.09 and 730.27

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Solution

The third proportional to 559.09 and 730.27 is: 953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.09 : 730.27 = 730.27 : x
  2. Step 2: Convert to fraction form
    559.09/730.27 = 730.27/x
  3. Step 3: Cross multiply
    559.09x = 730.27 × 730.27
  4. Step 4: Simplify right side
    559.09x = 533,287.88
  5. Step 5: Solve for x
    x = 533,287.88/559.09
  6. Step 6: Final answer
    x = 953.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.