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Finding the Third Proportional to 183,111 and 440,979

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Solution

The third proportional to 183,111 and 440,979 is: 1,061,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,111 : 440,979 = 440,979 : x
  2. Step 2: Convert to fraction form
    183,111/440,979 = 440,979/x
  3. Step 3: Cross multiply
    183,111x = 440,979 × 440,979
  4. Step 4: Simplify right side
    183,111x = 194,462,478,441
  5. Step 5: Solve for x
    x = 194,462,478,441/183,111
  6. Step 6: Final answer
    x = 1,061,992.33

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.