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Finding the Third Proportional to 204,499 and 444,971

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Solution

The third proportional to 204,499 and 444,971 is: 968,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,499 : 444,971 = 444,971 : x
  2. Step 2: Convert to fraction form
    204,499/444,971 = 444,971/x
  3. Step 3: Cross multiply
    204,499x = 444,971 × 444,971
  4. Step 4: Simplify right side
    204,499x = 197,999,190,841
  5. Step 5: Solve for x
    x = 197,999,190,841/204,499
  6. Step 6: Final answer
    x = 968,215.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.