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Finding the Third Proportional to 187,962 and 405,476

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Solution

The third proportional to 187,962 and 405,476 is: 874,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,962 : 405,476 = 405,476 : x
  2. Step 2: Convert to fraction form
    187,962/405,476 = 405,476/x
  3. Step 3: Cross multiply
    187,962x = 405,476 × 405,476
  4. Step 4: Simplify right side
    187,962x = 164,410,786,576
  5. Step 5: Solve for x
    x = 164,410,786,576/187,962
  6. Step 6: Final answer
    x = 874,702.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.