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Finding the Third Proportional to 335,947.50 and 737,424

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Solution

The third proportional to 335,947.50 and 737,424 is: 1,618,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,947.50 : 737,424 = 737,424 : x
  2. Step 2: Convert to fraction form
    335,947.50/737,424 = 737,424/x
  3. Step 3: Cross multiply
    335,947.50x = 737,424 × 737,424
  4. Step 4: Simplify right side
    335,947.50x = 543,794,155,776
  5. Step 5: Solve for x
    x = 543,794,155,776/335,947.50
  6. Step 6: Final answer
    x = 1,618,687.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.