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Finding the Third Proportional to 366,949 and 744,225

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Solution

The third proportional to 366,949 and 744,225 is: 1,509,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,949 : 744,225 = 744,225 : x
  2. Step 2: Convert to fraction form
    366,949/744,225 = 744,225/x
  3. Step 3: Cross multiply
    366,949x = 744,225 × 744,225
  4. Step 4: Simplify right side
    366,949x = 553,870,850,625
  5. Step 5: Solve for x
    x = 553,870,850,625/366,949
  6. Step 6: Final answer
    x = 1,509,394.63

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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.