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Finding the Third Proportional to 338,639.06 and 461,246.06

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Solution

The third proportional to 338,639.06 and 461,246.06 is: 628,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,639.06 : 461,246.06 = 461,246.06 : x
  2. Step 2: Convert to fraction form
    338,639.06/461,246.06 = 461,246.06/x
  3. Step 3: Cross multiply
    338,639.06x = 461,246.06 × 461,246.06
  4. Step 4: Simplify right side
    338,639.06x = 212,747,930,171.75
  5. Step 5: Solve for x
    x = 212,747,930,171.75/338,639.06
  6. Step 6: Final answer
    x = 628,243.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.