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Finding the Third Proportional to 291,274 and 393,530

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Solution

The third proportional to 291,274 and 393,530 is: 531,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,274 : 393,530 = 393,530 : x
  2. Step 2: Convert to fraction form
    291,274/393,530 = 393,530/x
  3. Step 3: Cross multiply
    291,274x = 393,530 × 393,530
  4. Step 4: Simplify right side
    291,274x = 154,865,860,900
  5. Step 5: Solve for x
    x = 154,865,860,900/291,274
  6. Step 6: Final answer
    x = 531,684.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.