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Finding the Third Proportional to 315,274 and 476,182

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Solution

The third proportional to 315,274 and 476,182 is: 719,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,274 : 476,182 = 476,182 : x
  2. Step 2: Convert to fraction form
    315,274/476,182 = 476,182/x
  3. Step 3: Cross multiply
    315,274x = 476,182 × 476,182
  4. Step 4: Simplify right side
    315,274x = 226,749,297,124
  5. Step 5: Solve for x
    x = 226,749,297,124/315,274
  6. Step 6: Final answer
    x = 719,213.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.