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Finding the Third Proportional to 187,904 and 412,004

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Solution

The third proportional to 187,904 and 412,004 is: 903,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,904 : 412,004 = 412,004 : x
  2. Step 2: Convert to fraction form
    187,904/412,004 = 412,004/x
  3. Step 3: Cross multiply
    187,904x = 412,004 × 412,004
  4. Step 4: Simplify right side
    187,904x = 169,747,296,016
  5. Step 5: Solve for x
    x = 169,747,296,016/187,904
  6. Step 6: Final answer
    x = 903,372.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.