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Finding the Third Proportional to 355,311 and 531,279

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Solution

The third proportional to 355,311 and 531,279 is: 794,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,311 : 531,279 = 531,279 : x
  2. Step 2: Convert to fraction form
    355,311/531,279 = 531,279/x
  3. Step 3: Cross multiply
    355,311x = 531,279 × 531,279
  4. Step 4: Simplify right side
    355,311x = 282,257,375,841
  5. Step 5: Solve for x
    x = 282,257,375,841/355,311
  6. Step 6: Final answer
    x = 794,395.26

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