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Finding the Third Proportional to 414,147.50 and 903,267

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Solution

The third proportional to 414,147.50 and 903,267 is: 1,970,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,147.50 : 903,267 = 903,267 : x
  2. Step 2: Convert to fraction form
    414,147.50/903,267 = 903,267/x
  3. Step 3: Cross multiply
    414,147.50x = 903,267 × 903,267
  4. Step 4: Simplify right side
    414,147.50x = 815,891,273,289
  5. Step 5: Solve for x
    x = 815,891,273,289/414,147.50
  6. Step 6: Final answer
    x = 1,970,049.98

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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.