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Finding the Third Proportional to 496.55 and 730.48

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Solution

The third proportional to 496.55 and 730.48 is: 1,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.55 : 730.48 = 730.48 : x
  2. Step 2: Convert to fraction form
    496.55/730.48 = 730.48/x
  3. Step 3: Cross multiply
    496.55x = 730.48 × 730.48
  4. Step 4: Simplify right side
    496.55x = 533,596.01
  5. Step 5: Solve for x
    x = 533,596.01/496.55
  6. Step 6: Final answer
    x = 1,074.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.