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Finding the Third Proportional to 366,914 and 749,380

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Solution

The third proportional to 366,914 and 749,380 is: 1,530,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,914 : 749,380 = 749,380 : x
  2. Step 2: Convert to fraction form
    366,914/749,380 = 749,380/x
  3. Step 3: Cross multiply
    366,914x = 749,380 × 749,380
  4. Step 4: Simplify right side
    366,914x = 561,570,384,400
  5. Step 5: Solve for x
    x = 561,570,384,400/366,914
  6. Step 6: Final answer
    x = 1,530,523.19

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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.