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Finding the Third Proportional to 187,431 and 404,799

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Solution

The third proportional to 187,431 and 404,799 is: 874,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,431 : 404,799 = 404,799 : x
  2. Step 2: Convert to fraction form
    187,431/404,799 = 404,799/x
  3. Step 3: Cross multiply
    187,431x = 404,799 × 404,799
  4. Step 4: Simplify right side
    187,431x = 163,862,230,401
  5. Step 5: Solve for x
    x = 163,862,230,401/187,431
  6. Step 6: Final answer
    x = 874,253.62

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