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Finding the Third Proportional to 366,911 and 749,374

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Solution

The third proportional to 366,911 and 749,374 is: 1,530,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,911 : 749,374 = 749,374 : x
  2. Step 2: Convert to fraction form
    366,911/749,374 = 749,374/x
  3. Step 3: Cross multiply
    366,911x = 749,374 × 749,374
  4. Step 4: Simplify right side
    366,911x = 561,561,391,876
  5. Step 5: Solve for x
    x = 561,561,391,876/366,911
  6. Step 6: Final answer
    x = 1,530,511.19

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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.