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Finding the Third Proportional to 207,874.75 and 449,013.75

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Solution

The third proportional to 207,874.75 and 449,013.75 is: 969,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,874.75 : 449,013.75 = 449,013.75 : x
  2. Step 2: Convert to fraction form
    207,874.75/449,013.75 = 449,013.75/x
  3. Step 3: Cross multiply
    207,874.75x = 449,013.75 × 449,013.75
  4. Step 4: Simplify right side
    207,874.75x = 201,613,347,689.06
  5. Step 5: Solve for x
    x = 201,613,347,689.06/207,874.75
  6. Step 6: Final answer
    x = 969,878.97

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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.