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Finding the Third Proportional to 204,837.19 and 446,325.19

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Solution

The third proportional to 204,837.19 and 446,325.19 is: 972,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,837.19 : 446,325.19 = 446,325.19 : x
  2. Step 2: Convert to fraction form
    204,837.19/446,325.19 = 446,325.19/x
  3. Step 3: Cross multiply
    204,837.19x = 446,325.19 × 446,325.19
  4. Step 4: Simplify right side
    204,837.19x = 199,206,172,996.91
  5. Step 5: Solve for x
    x = 199,206,172,996.91/204,837.19
  6. Step 6: Final answer
    x = 972,509.80

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