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Finding the Third Proportional to 366,916 and 749,384

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Solution

The third proportional to 366,916 and 749,384 is: 1,530,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,916 : 749,384 = 749,384 : x
  2. Step 2: Convert to fraction form
    366,916/749,384 = 749,384/x
  3. Step 3: Cross multiply
    366,916x = 749,384 × 749,384
  4. Step 4: Simplify right side
    366,916x = 561,576,379,456
  5. Step 5: Solve for x
    x = 561,576,379,456/366,916
  6. Step 6: Final answer
    x = 1,530,531.18

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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.