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Finding the Third Proportional to 289,057.50 and 622,404

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Solution

The third proportional to 289,057.50 and 622,404 is: 1,340,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,057.50 : 622,404 = 622,404 : x
  2. Step 2: Convert to fraction form
    289,057.50/622,404 = 622,404/x
  3. Step 3: Cross multiply
    289,057.50x = 622,404 × 622,404
  4. Step 4: Simplify right side
    289,057.50x = 387,386,739,216
  5. Step 5: Solve for x
    x = 387,386,739,216/289,057.50
  6. Step 6: Final answer
    x = 1,340,171.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.