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Finding the Third Proportional to 366,774 and 749,100

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Solution

The third proportional to 366,774 and 749,100 is: 1,529,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,774 : 749,100 = 749,100 : x
  2. Step 2: Convert to fraction form
    366,774/749,100 = 749,100/x
  3. Step 3: Cross multiply
    366,774x = 749,100 × 749,100
  4. Step 4: Simplify right side
    366,774x = 561,150,810,000
  5. Step 5: Solve for x
    x = 561,150,810,000/366,774
  6. Step 6: Final answer
    x = 1,529,963.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.