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Finding the Third Proportional to 186,973 and 405,491

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Solution

The third proportional to 186,973 and 405,491 is: 879,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,973 : 405,491 = 405,491 : x
  2. Step 2: Convert to fraction form
    186,973/405,491 = 405,491/x
  3. Step 3: Cross multiply
    186,973x = 405,491 × 405,491
  4. Step 4: Simplify right side
    186,973x = 164,422,951,081
  5. Step 5: Solve for x
    x = 164,422,951,081/186,973
  6. Step 6: Final answer
    x = 879,394.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.