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Finding the Third Proportional to 187,226 and 405,979

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Solution

The third proportional to 187,226 and 405,979 is: 880,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,226 : 405,979 = 405,979 : x
  2. Step 2: Convert to fraction form
    187,226/405,979 = 405,979/x
  3. Step 3: Cross multiply
    187,226x = 405,979 × 405,979
  4. Step 4: Simplify right side
    187,226x = 164,818,948,441
  5. Step 5: Solve for x
    x = 164,818,948,441/187,226
  6. Step 6: Final answer
    x = 880,320.83

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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.