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Finding the Third Proportional to 239,626.97 and 512,915.34

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Solution

The third proportional to 239,626.97 and 512,915.34 is: 1,097,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,626.97 : 512,915.34 = 512,915.34 : x
  2. Step 2: Convert to fraction form
    239,626.97/512,915.34 = 512,915.34/x
  3. Step 3: Cross multiply
    239,626.97x = 512,915.34 × 512,915.34
  4. Step 4: Simplify right side
    239,626.97x = 263,082,149,854.18
  5. Step 5: Solve for x
    x = 263,082,149,854.18/239,626.97
  6. Step 6: Final answer
    x = 1,097,882.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.