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Finding the Third Proportional to 187,984 and 405,933

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Solution

The third proportional to 187,984 and 405,933 is: 876,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,984 : 405,933 = 405,933 : x
  2. Step 2: Convert to fraction form
    187,984/405,933 = 405,933/x
  3. Step 3: Cross multiply
    187,984x = 405,933 × 405,933
  4. Step 4: Simplify right side
    187,984x = 164,781,600,489
  5. Step 5: Solve for x
    x = 164,781,600,489/187,984
  6. Step 6: Final answer
    x = 876,572.48

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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.