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Finding the Third Proportional to 364,812 and 491,124

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Solution

The third proportional to 364,812 and 491,124 is: 661,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,812 : 491,124 = 491,124 : x
  2. Step 2: Convert to fraction form
    364,812/491,124 = 491,124/x
  3. Step 3: Cross multiply
    364,812x = 491,124 × 491,124
  4. Step 4: Simplify right side
    364,812x = 241,202,783,376
  5. Step 5: Solve for x
    x = 241,202,783,376/364,812
  6. Step 6: Final answer
    x = 661,170.09

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Why These Related Problems?

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