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Finding the Third Proportional to 379,813 and 601,431

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Solution

The third proportional to 379,813 and 601,431 is: 952,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,813 : 601,431 = 601,431 : x
  2. Step 2: Convert to fraction form
    379,813/601,431 = 601,431/x
  3. Step 3: Cross multiply
    379,813x = 601,431 × 601,431
  4. Step 4: Simplify right side
    379,813x = 361,719,247,761
  5. Step 5: Solve for x
    x = 361,719,247,761/379,813
  6. Step 6: Final answer
    x = 952,361.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.