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Finding the Third Proportional to 187,962 and 405,477

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Solution

The third proportional to 187,962 and 405,477 is: 874,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,962 : 405,477 = 405,477 : x
  2. Step 2: Convert to fraction form
    187,962/405,477 = 405,477/x
  3. Step 3: Cross multiply
    187,962x = 405,477 × 405,477
  4. Step 4: Simplify right side
    187,962x = 164,411,597,529
  5. Step 5: Solve for x
    x = 164,411,597,529/187,962
  6. Step 6: Final answer
    x = 874,706.58

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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.