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Finding the Third Proportional to 366,997.50 and 744,366

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Solution

The third proportional to 366,997.50 and 744,366 is: 1,509,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,997.50 : 744,366 = 744,366 : x
  2. Step 2: Convert to fraction form
    366,997.50/744,366 = 744,366/x
  3. Step 3: Cross multiply
    366,997.50x = 744,366 × 744,366
  4. Step 4: Simplify right side
    366,997.50x = 554,080,741,956
  5. Step 5: Solve for x
    x = 554,080,741,956/366,997.50
  6. Step 6: Final answer
    x = 1,509,767.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.