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Finding the Third Proportional to 366,997 and 744,364

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Solution

The third proportional to 366,997 and 744,364 is: 1,509,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,997 : 744,364 = 744,364 : x
  2. Step 2: Convert to fraction form
    366,997/744,364 = 744,364/x
  3. Step 3: Cross multiply
    366,997x = 744,364 × 744,364
  4. Step 4: Simplify right side
    366,997x = 554,077,764,496
  5. Step 5: Solve for x
    x = 554,077,764,496/366,997
  6. Step 6: Final answer
    x = 1,509,761.02

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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.