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Finding the Third Proportional to 731.37 and 953.73

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Solution

The third proportional to 731.37 and 953.73 is: 1,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.37 : 953.73 = 953.73 : x
  2. Step 2: Convert to fraction form
    731.37/953.73 = 953.73/x
  3. Step 3: Cross multiply
    731.37x = 953.73 × 953.73
  4. Step 4: Simplify right side
    731.37x = 909,596.22
  5. Step 5: Solve for x
    x = 909,596.22/731.37
  6. Step 6: Final answer
    x = 1,243.68

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.